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Finding the Third Proportional to 478,849 and 741,434

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Solution

The third proportional to 478,849 and 741,434 is: 1,148,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,849 : 741,434 = 741,434 : x
  2. Step 2: Convert to fraction form
    478,849/741,434 = 741,434/x
  3. Step 3: Cross multiply
    478,849x = 741,434 × 741,434
  4. Step 4: Simplify right side
    478,849x = 549,724,376,356
  5. Step 5: Solve for x
    x = 549,724,376,356/478,849
  6. Step 6: Final answer
    x = 1,148,011.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.