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Finding the Third Proportional to 220,473 and 478,530

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Solution

The third proportional to 220,473 and 478,530 is: 1,038,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,473 : 478,530 = 478,530 : x
  2. Step 2: Convert to fraction form
    220,473/478,530 = 478,530/x
  3. Step 3: Cross multiply
    220,473x = 478,530 × 478,530
  4. Step 4: Simplify right side
    220,473x = 228,990,960,900
  5. Step 5: Solve for x
    x = 228,990,960,900/220,473
  6. Step 6: Final answer
    x = 1,038,634.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.