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Finding the Third Proportional to 382,111,536 and 829,098,240

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Solution

The third proportional to 382,111,536 and 829,098,240 is: 1,798,961,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111,536 : 829,098,240 = 829,098,240 : x
  2. Step 2: Convert to fraction form
    382,111,536/829,098,240 = 829,098,240/x
  3. Step 3: Cross multiply
    382,111,536x = 829,098,240 × 829,098,240
  4. Step 4: Simplify right side
    382,111,536x = 687,403,891,571,097,600
  5. Step 5: Solve for x
    x = 687,403,891,571,097,600/382,111,536
  6. Step 6: Final answer
    x = 1,798,961,368.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.