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Finding the Third Proportional to 178,822,692 and 391,120,776

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Solution

The third proportional to 178,822,692 and 391,120,776 is: 855,458,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,822,692 : 391,120,776 = 391,120,776 : x
  2. Step 2: Convert to fraction form
    178,822,692/391,120,776 = 391,120,776/x
  3. Step 3: Cross multiply
    178,822,692x = 391,120,776 × 391,120,776
  4. Step 4: Simplify right side
    178,822,692x = 152,975,461,418,842,176
  5. Step 5: Solve for x
    x = 152,975,461,418,842,176/178,822,692
  6. Step 6: Final answer
    x = 855,458,888.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.