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Finding the Third Proportional to 78,707,121 and 172,909,864.50

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Solution

The third proportional to 78,707,121 and 172,909,864.50 is: 379,861,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,707,121 : 172,909,864.50 = 172,909,864.50 : x
  2. Step 2: Convert to fraction form
    78,707,121/172,909,864.50 = 172,909,864.50/x
  3. Step 3: Cross multiply
    78,707,121x = 172,909,864.50 × 172,909,864.50
  4. Step 4: Simplify right side
    78,707,121x = 29,897,821,241,408,360
  5. Step 5: Solve for x
    x = 29,897,821,241,408,360/78,707,121
  6. Step 6: Final answer
    x = 379,861,705.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.