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Finding the Third Proportional to 340,215 and 500,479

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Solution

The third proportional to 340,215 and 500,479 is: 736,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,215 : 500,479 = 500,479 : x
  2. Step 2: Convert to fraction form
    340,215/500,479 = 500,479/x
  3. Step 3: Cross multiply
    340,215x = 500,479 × 500,479
  4. Step 4: Simplify right side
    340,215x = 250,479,229,441
  5. Step 5: Solve for x
    x = 250,479,229,441/340,215
  6. Step 6: Final answer
    x = 736,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.