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Finding the Third Proportional to 438,654,861 and 963,408,105

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Solution

The third proportional to 438,654,861 and 963,408,105 is: 2,115,912,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,654,861 : 963,408,105 = 963,408,105 : x
  2. Step 2: Convert to fraction form
    438,654,861/963,408,105 = 963,408,105/x
  3. Step 3: Cross multiply
    438,654,861x = 963,408,105 × 963,408,105
  4. Step 4: Simplify right side
    438,654,861x = 928,155,176,779,691,008
  5. Step 5: Solve for x
    x = 928,155,176,779,691,008/438,654,861
  6. Step 6: Final answer
    x = 2,115,912,210.94

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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.