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Finding the Third Proportional to 403,721 and 586,789

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Solution

The third proportional to 403,721 and 586,789 is: 852,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,721 : 586,789 = 586,789 : x
  2. Step 2: Convert to fraction form
    403,721/586,789 = 586,789/x
  3. Step 3: Cross multiply
    403,721x = 586,789 × 586,789
  4. Step 4: Simplify right side
    403,721x = 344,321,330,521
  5. Step 5: Solve for x
    x = 344,321,330,521/403,721
  6. Step 6: Final answer
    x = 852,869.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.