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Finding the Third Proportional to 276,460 and 415,746

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Solution

The third proportional to 276,460 and 415,746 is: 625,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,460 : 415,746 = 415,746 : x
  2. Step 2: Convert to fraction form
    276,460/415,746 = 415,746/x
  3. Step 3: Cross multiply
    276,460x = 415,746 × 415,746
  4. Step 4: Simplify right side
    276,460x = 172,844,736,516
  5. Step 5: Solve for x
    x = 172,844,736,516/276,460
  6. Step 6: Final answer
    x = 625,207.03

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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.