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Finding the Third Proportional to 387,877,256 and 861,852,688

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Solution

The third proportional to 387,877,256 and 861,852,688 is: 1,915,013,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,877,256 : 861,852,688 = 861,852,688 : x
  2. Step 2: Convert to fraction form
    387,877,256/861,852,688 = 861,852,688/x
  3. Step 3: Cross multiply
    387,877,256x = 861,852,688 × 861,852,688
  4. Step 4: Simplify right side
    387,877,256x = 742,790,055,812,825,344
  5. Step 5: Solve for x
    x = 742,790,055,812,825,344/387,877,256
  6. Step 6: Final answer
    x = 1,915,013,175.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.