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Finding the Third Proportional to 71,017,015 and 152,820,313

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Solution

The third proportional to 71,017,015 and 152,820,313 is: 328,851,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017,015 : 152,820,313 = 152,820,313 : x
  2. Step 2: Convert to fraction form
    71,017,015/152,820,313 = 152,820,313/x
  3. Step 3: Cross multiply
    71,017,015x = 152,820,313 × 152,820,313
  4. Step 4: Simplify right side
    71,017,015x = 23,354,048,065,417,968
  5. Step 5: Solve for x
    x = 23,354,048,065,417,968/71,017,015
  6. Step 6: Final answer
    x = 328,851,445.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.