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Finding the Third Proportional to 310,840 and 456,060

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Solution

The third proportional to 310,840 and 456,060 is: 669,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,840 : 456,060 = 456,060 : x
  2. Step 2: Convert to fraction form
    310,840/456,060 = 456,060/x
  3. Step 3: Cross multiply
    310,840x = 456,060 × 456,060
  4. Step 4: Simplify right side
    310,840x = 207,990,723,600
  5. Step 5: Solve for x
    x = 207,990,723,600/310,840
  6. Step 6: Final answer
    x = 669,124.71

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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.