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Finding the Third Proportional to 464,491.97 and 678,812.91

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Solution

The third proportional to 464,491.97 and 678,812.91 is: 992,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,491.97 : 678,812.91 = 678,812.91 : x
  2. Step 2: Convert to fraction form
    464,491.97/678,812.91 = 678,812.91/x
  3. Step 3: Cross multiply
    464,491.97x = 678,812.91 × 678,812.91
  4. Step 4: Simplify right side
    464,491.97x = 460,786,961,691.57
  5. Step 5: Solve for x
    x = 460,786,961,691.57/464,491.97
  6. Step 6: Final answer
    x = 992,023.53

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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.