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Finding the Third Proportional to 250,623 and 387,898.50

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Solution

The third proportional to 250,623 and 387,898.50 is: 600,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,623 : 387,898.50 = 387,898.50 : x
  2. Step 2: Convert to fraction form
    250,623/387,898.50 = 387,898.50/x
  3. Step 3: Cross multiply
    250,623x = 387,898.50 × 387,898.50
  4. Step 4: Simplify right side
    250,623x = 150,465,246,302.25
  5. Step 5: Solve for x
    x = 150,465,246,302.25/250,623
  6. Step 6: Final answer
    x = 600,364.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.