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Finding the Third Proportional to 352,128,955,768 and 773,434,656,354

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Solution

The third proportional to 352,128,955,768 and 773,434,656,354 is: 1,698,812,772,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,128,955,768 : 773,434,656,354 = 773,434,656,354 : x
  2. Step 2: Convert to fraction form
    352,128,955,768/773,434,656,354 = 773,434,656,354/x
  3. Step 3: Cross multiply
    352,128,955,768x = 773,434,656,354 × 773,434,656,354
  4. Step 4: Simplify right side
    352,128,955,768x = 598,201,167,649,430,046,769,152
  5. Step 5: Solve for x
    x = 598,201,167,649,430,046,769,152/352,128,955,768
  6. Step 6: Final answer
    x = 1,698,812,772,567.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.