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Finding the Third Proportional to 78,122,070 and 165,101,472

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Solution

The third proportional to 78,122,070 and 165,101,472 is: 348,921,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122,070 : 165,101,472 = 165,101,472 : x
  2. Step 2: Convert to fraction form
    78,122,070/165,101,472 = 165,101,472/x
  3. Step 3: Cross multiply
    78,122,070x = 165,101,472 × 165,101,472
  4. Step 4: Simplify right side
    78,122,070x = 27,258,496,056,566,784
  5. Step 5: Solve for x
    x = 27,258,496,056,566,784/78,122,070
  6. Step 6: Final answer
    x = 348,921,835.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.