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Finding the Third Proportional to 310,298 and 482,454

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Solution

The third proportional to 310,298 and 482,454 is: 750,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,298 : 482,454 = 482,454 : x
  2. Step 2: Convert to fraction form
    310,298/482,454 = 482,454/x
  3. Step 3: Cross multiply
    310,298x = 482,454 × 482,454
  4. Step 4: Simplify right side
    310,298x = 232,761,862,116
  5. Step 5: Solve for x
    x = 232,761,862,116/310,298
  6. Step 6: Final answer
    x = 750,123.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.