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Finding the Third Proportional to 434,484 and 908,691

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Solution

The third proportional to 434,484 and 908,691 is: 1,900,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,484 : 908,691 = 908,691 : x
  2. Step 2: Convert to fraction form
    434,484/908,691 = 908,691/x
  3. Step 3: Cross multiply
    434,484x = 908,691 × 908,691
  4. Step 4: Simplify right side
    434,484x = 825,719,333,481
  5. Step 5: Solve for x
    x = 825,719,333,481/434,484
  6. Step 6: Final answer
    x = 1,900,459.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.