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Finding the Third Proportional to 78,528,740 and 172,635,352

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Solution

The third proportional to 78,528,740 and 172,635,352 is: 379,516,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528,740 : 172,635,352 = 172,635,352 : x
  2. Step 2: Convert to fraction form
    78,528,740/172,635,352 = 172,635,352/x
  3. Step 3: Cross multiply
    78,528,740x = 172,635,352 × 172,635,352
  4. Step 4: Simplify right side
    78,528,740x = 29,802,964,760,163,904
  5. Step 5: Solve for x
    x = 29,802,964,760,163,904/78,528,740
  6. Step 6: Final answer
    x = 379,516,655.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.