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Finding the Third Proportional to 178,362,103 and 391,799,311

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Solution

The third proportional to 178,362,103 and 391,799,311 is: 860,646,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362,103 : 391,799,311 = 391,799,311 : x
  2. Step 2: Convert to fraction form
    178,362,103/391,799,311 = 391,799,311/x
  3. Step 3: Cross multiply
    178,362,103x = 391,799,311 × 391,799,311
  4. Step 4: Simplify right side
    178,362,103x = 153,506,700,100,074,720
  5. Step 5: Solve for x
    x = 153,506,700,100,074,720/178,362,103
  6. Step 6: Final answer
    x = 860,646,390.23

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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.