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Finding the Third Proportional to 409,585.50 and 614,378.50

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Solution

The third proportional to 409,585.50 and 614,378.50 is: 921,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,585.50 : 614,378.50 = 614,378.50 : x
  2. Step 2: Convert to fraction form
    409,585.50/614,378.50 = 614,378.50/x
  3. Step 3: Cross multiply
    409,585.50x = 614,378.50 × 614,378.50
  4. Step 4: Simplify right side
    409,585.50x = 377,460,941,262.25
  5. Step 5: Solve for x
    x = 377,460,941,262.25/409,585.50
  6. Step 6: Final answer
    x = 921,568.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.