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Finding the Third Proportional to 478,224 and 716,418

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Solution

The third proportional to 478,224 and 716,418 is: 1,073,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,224 : 716,418 = 716,418 : x
  2. Step 2: Convert to fraction form
    478,224/716,418 = 716,418/x
  3. Step 3: Cross multiply
    478,224x = 716,418 × 716,418
  4. Step 4: Simplify right side
    478,224x = 513,254,750,724
  5. Step 5: Solve for x
    x = 513,254,750,724/478,224
  6. Step 6: Final answer
    x = 1,073,251.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.