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Finding the Third Proportional to 78,122,079 and 165,101,490

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Solution

The third proportional to 78,122,079 and 165,101,490 is: 348,921,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122,079 : 165,101,490 = 165,101,490 : x
  2. Step 2: Convert to fraction form
    78,122,079/165,101,490 = 165,101,490/x
  3. Step 3: Cross multiply
    78,122,079x = 165,101,490 × 165,101,490
  4. Step 4: Simplify right side
    78,122,079x = 27,258,502,000,220,100
  5. Step 5: Solve for x
    x = 27,258,502,000,220,100/78,122,079
  6. Step 6: Final answer
    x = 348,921,871.37

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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.