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Finding the Third Proportional to 457,359.75 and 669,637.13

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Solution

The third proportional to 457,359.75 and 669,637.13 is: 980,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,359.75 : 669,637.13 = 669,637.13 : x
  2. Step 2: Convert to fraction form
    457,359.75/669,637.13 = 669,637.13/x
  3. Step 3: Cross multiply
    457,359.75x = 669,637.13 × 669,637.13
  4. Step 4: Simplify right side
    457,359.75x = 448,413,879,178.27
  5. Step 5: Solve for x
    x = 448,413,879,178.27/457,359.75
  6. Step 6: Final answer
    x = 980,440.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.