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Finding the Third Proportional to 217,851 and 478,659

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Solution

The third proportional to 217,851 and 478,659 is: 1,051,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,851 : 478,659 = 478,659 : x
  2. Step 2: Convert to fraction form
    217,851/478,659 = 478,659/x
  3. Step 3: Cross multiply
    217,851x = 478,659 × 478,659
  4. Step 4: Simplify right side
    217,851x = 229,114,438,281
  5. Step 5: Solve for x
    x = 229,114,438,281/217,851
  6. Step 6: Final answer
    x = 1,051,702.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.