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Finding the Third Proportional to 640,841,344 and 1,315,655,344

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Solution

The third proportional to 640,841,344 and 1,315,655,344 is: 2,701,056,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,841,344 : 1,315,655,344 = 1,315,655,344 : x
  2. Step 2: Convert to fraction form
    640,841,344/1,315,655,344 = 1,315,655,344/x
  3. Step 3: Cross multiply
    640,841,344x = 1,315,655,344 × 1,315,655,344
  4. Step 4: Simplify right side
    640,841,344x = 1,730,948,984,195,758,336
  5. Step 5: Solve for x
    x = 1,730,948,984,195,758,336/640,841,344
  6. Step 6: Final answer
    x = 2,701,056,978.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.