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Finding the Third Proportional to 299,335,809 and 640,039,542

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Solution

The third proportional to 299,335,809 and 640,039,542 is: 1,368,531,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335,809 : 640,039,542 = 640,039,542 : x
  2. Step 2: Convert to fraction form
    299,335,809/640,039,542 = 640,039,542/x
  3. Step 3: Cross multiply
    299,335,809x = 640,039,542 × 640,039,542
  4. Step 4: Simplify right side
    299,335,809x = 409,650,615,323,569,792
  5. Step 5: Solve for x
    x = 409,650,615,323,569,792/299,335,809
  6. Step 6: Final answer
    x = 1,368,531,939.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.