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Finding the Third Proportional to 287,613 and 624,923

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Solution

The third proportional to 287,613 and 624,923 is: 1,357,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,613 : 624,923 = 624,923 : x
  2. Step 2: Convert to fraction form
    287,613/624,923 = 624,923/x
  3. Step 3: Cross multiply
    287,613x = 624,923 × 624,923
  4. Step 4: Simplify right side
    287,613x = 390,528,755,929
  5. Step 5: Solve for x
    x = 390,528,755,929/287,613
  6. Step 6: Final answer
    x = 1,357,827.21

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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.