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Finding the Third Proportional to 287,469 and 625,117.50

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Solution

The third proportional to 287,469 and 625,117.50 is: 1,359,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,469 : 625,117.50 = 625,117.50 : x
  2. Step 2: Convert to fraction form
    287,469/625,117.50 = 625,117.50/x
  3. Step 3: Cross multiply
    287,469x = 625,117.50 × 625,117.50
  4. Step 4: Simplify right side
    287,469x = 390,771,888,806.25
  5. Step 5: Solve for x
    x = 390,771,888,806.25/287,469
  6. Step 6: Final answer
    x = 1,359,353.14

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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.