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Finding the Third Proportional to 78,971,871 and 176,091,624

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Solution

The third proportional to 78,971,871 and 176,091,624 is: 392,649,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,971,871 : 176,091,624 = 176,091,624 : x
  2. Step 2: Convert to fraction form
    78,971,871/176,091,624 = 176,091,624/x
  3. Step 3: Cross multiply
    78,971,871x = 176,091,624 × 176,091,624
  4. Step 4: Simplify right side
    78,971,871x = 31,008,260,042,957,376
  5. Step 5: Solve for x
    x = 31,008,260,042,957,376/78,971,871
  6. Step 6: Final answer
    x = 392,649,428.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.