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Finding the Third Proportional to 417,813 and 915,723

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Solution

The third proportional to 417,813 and 915,723 is: 2,006,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,813 : 915,723 = 915,723 : x
  2. Step 2: Convert to fraction form
    417,813/915,723 = 915,723/x
  3. Step 3: Cross multiply
    417,813x = 915,723 × 915,723
  4. Step 4: Simplify right side
    417,813x = 838,548,612,729
  5. Step 5: Solve for x
    x = 838,548,612,729/417,813
  6. Step 6: Final answer
    x = 2,006,995.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.