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Finding the Third Proportional to 449,151.75 and 645,634.13

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Solution

The third proportional to 449,151.75 and 645,634.13 is: 928,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,151.75 : 645,634.13 = 645,634.13 : x
  2. Step 2: Convert to fraction form
    449,151.75/645,634.13 = 645,634.13/x
  3. Step 3: Cross multiply
    449,151.75x = 645,634.13 × 645,634.13
  4. Step 4: Simplify right side
    449,151.75x = 416,843,423,364.52
  5. Step 5: Solve for x
    x = 416,843,423,364.52/449,151.75
  6. Step 6: Final answer
    x = 928,068.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.