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Finding the Third Proportional to 78,316,877 and 165,969,733

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Solution

The third proportional to 78,316,877 and 165,969,733 is: 351,724,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,877 : 165,969,733 = 165,969,733 : x
  2. Step 2: Convert to fraction form
    78,316,877/165,969,733 = 165,969,733/x
  3. Step 3: Cross multiply
    78,316,877x = 165,969,733 × 165,969,733
  4. Step 4: Simplify right side
    78,316,877x = 27,545,952,272,091,288
  5. Step 5: Solve for x
    x = 27,545,952,272,091,288/78,316,877
  6. Step 6: Final answer
    x = 351,724,345.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.