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Finding the Third Proportional to 287,613 and 624,924

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Solution

The third proportional to 287,613 and 624,924 is: 1,357,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,613 : 624,924 = 624,924 : x
  2. Step 2: Convert to fraction form
    287,613/624,924 = 624,924/x
  3. Step 3: Cross multiply
    287,613x = 624,924 × 624,924
  4. Step 4: Simplify right side
    287,613x = 390,530,005,776
  5. Step 5: Solve for x
    x = 390,530,005,776/287,613
  6. Step 6: Final answer
    x = 1,357,831.55

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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.