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Finding the Third Proportional to 73,815,018 and 172,465,188

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Solution

The third proportional to 73,815,018 and 172,465,188 is: 402,956,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,815,018 : 172,465,188 = 172,465,188 : x
  2. Step 2: Convert to fraction form
    73,815,018/172,465,188 = 172,465,188/x
  3. Step 3: Cross multiply
    73,815,018x = 172,465,188 × 172,465,188
  4. Step 4: Simplify right side
    73,815,018x = 29,744,241,071,875,344
  5. Step 5: Solve for x
    x = 29,744,241,071,875,344/73,815,018
  6. Step 6: Final answer
    x = 402,956,496.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.