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Finding the Third Proportional to 464,494.50 and 678,817.97

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Solution

The third proportional to 464,494.50 and 678,817.97 is: 992,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,494.50 : 678,817.97 = 678,817.97 : x
  2. Step 2: Convert to fraction form
    464,494.50/678,817.97 = 678,817.97/x
  3. Step 3: Cross multiply
    464,494.50x = 678,817.97 × 678,817.97
  4. Step 4: Simplify right side
    464,494.50x = 460,793,834,697.88
  5. Step 5: Solve for x
    x = 460,793,834,697.88/464,494.50
  6. Step 6: Final answer
    x = 992,032.92

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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.