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Finding the Third Proportional to 287,374 and 624,489

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Solution

The third proportional to 287,374 and 624,489 is: 1,357,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,374 : 624,489 = 624,489 : x
  2. Step 2: Convert to fraction form
    287,374/624,489 = 624,489/x
  3. Step 3: Cross multiply
    287,374x = 624,489 × 624,489
  4. Step 4: Simplify right side
    287,374x = 389,986,511,121
  5. Step 5: Solve for x
    x = 389,986,511,121/287,374
  6. Step 6: Final answer
    x = 1,357,069.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.