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Finding the Third Proportional to 289,399.50 and 625,587

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Solution

The third proportional to 289,399.50 and 625,587 is: 1,352,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,399.50 : 625,587 = 625,587 : x
  2. Step 2: Convert to fraction form
    289,399.50/625,587 = 625,587/x
  3. Step 3: Cross multiply
    289,399.50x = 625,587 × 625,587
  4. Step 4: Simplify right side
    289,399.50x = 391,359,094,569
  5. Step 5: Solve for x
    x = 391,359,094,569/289,399.50
  6. Step 6: Final answer
    x = 1,352,314.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.