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Finding the Third Proportional to 302,344.50 and 457,428

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Solution

The third proportional to 302,344.50 and 457,428 is: 692,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,344.50 : 457,428 = 457,428 : x
  2. Step 2: Convert to fraction form
    302,344.50/457,428 = 457,428/x
  3. Step 3: Cross multiply
    302,344.50x = 457,428 × 457,428
  4. Step 4: Simplify right side
    302,344.50x = 209,240,375,184
  5. Step 5: Solve for x
    x = 209,240,375,184/302,344.50
  6. Step 6: Final answer
    x = 692,059.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.