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Finding the Third Proportional to 297,432 and 478,806

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Solution

The third proportional to 297,432 and 478,806 is: 770,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,432 : 478,806 = 478,806 : x
  2. Step 2: Convert to fraction form
    297,432/478,806 = 478,806/x
  3. Step 3: Cross multiply
    297,432x = 478,806 × 478,806
  4. Step 4: Simplify right side
    297,432x = 229,255,185,636
  5. Step 5: Solve for x
    x = 229,255,185,636/297,432
  6. Step 6: Final answer
    x = 770,781.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.