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Finding the Third Proportional to 287,364 and 624,466

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Solution

The third proportional to 287,364 and 624,466 is: 1,357,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,364 : 624,466 = 624,466 : x
  2. Step 2: Convert to fraction form
    287,364/624,466 = 624,466/x
  3. Step 3: Cross multiply
    287,364x = 624,466 × 624,466
  4. Step 4: Simplify right side
    287,364x = 389,957,785,156
  5. Step 5: Solve for x
    x = 389,957,785,156/287,364
  6. Step 6: Final answer
    x = 1,357,016.83

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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.