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Finding the Third Proportional to 387,248 and 623,864

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Solution

The third proportional to 387,248 and 623,864 is: 1,005,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,248 : 623,864 = 623,864 : x
  2. Step 2: Convert to fraction form
    387,248/623,864 = 623,864/x
  3. Step 3: Cross multiply
    387,248x = 623,864 × 623,864
  4. Step 4: Simplify right side
    387,248x = 389,206,290,496
  5. Step 5: Solve for x
    x = 389,206,290,496/387,248
  6. Step 6: Final answer
    x = 1,005,056.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.