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Finding the Third Proportional to 78,122,079.50 and 165,101,491

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Solution

The third proportional to 78,122,079.50 and 165,101,491 is: 348,921,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122,079.50 : 165,101,491 = 165,101,491 : x
  2. Step 2: Convert to fraction form
    78,122,079.50/165,101,491 = 165,101,491/x
  3. Step 3: Cross multiply
    78,122,079.50x = 165,101,491 × 165,101,491
  4. Step 4: Simplify right side
    78,122,079.50x = 27,258,502,330,423,080
  5. Step 5: Solve for x
    x = 27,258,502,330,423,080/78,122,079.50
  6. Step 6: Final answer
    x = 348,921,873.37

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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.