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Finding the Third Proportional to 491,137 and 738,528

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Solution

The third proportional to 491,137 and 738,528 is: 1,110,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,137 : 738,528 = 738,528 : x
  2. Step 2: Convert to fraction form
    491,137/738,528 = 738,528/x
  3. Step 3: Cross multiply
    491,137x = 738,528 × 738,528
  4. Step 4: Simplify right side
    491,137x = 545,423,606,784
  5. Step 5: Solve for x
    x = 545,423,606,784/491,137
  6. Step 6: Final answer
    x = 1,110,532.51

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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.