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Finding the Third Proportional to 307,957.50 and 457,438.50

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Solution

The third proportional to 307,957.50 and 457,438.50 is: 679,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,957.50 : 457,438.50 = 457,438.50 : x
  2. Step 2: Convert to fraction form
    307,957.50/457,438.50 = 457,438.50/x
  3. Step 3: Cross multiply
    307,957.50x = 457,438.50 × 457,438.50
  4. Step 4: Simplify right side
    307,957.50x = 209,249,981,282.25
  5. Step 5: Solve for x
    x = 209,249,981,282.25/307,957.50
  6. Step 6: Final answer
    x = 679,476.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.