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Finding the Third Proportional to 417,089.25 and 915,391.13

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Solution

The third proportional to 417,089.25 and 915,391.13 is: 2,009,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,089.25 : 915,391.13 = 915,391.13 : x
  2. Step 2: Convert to fraction form
    417,089.25/915,391.13 = 915,391.13/x
  3. Step 3: Cross multiply
    417,089.25x = 915,391.13 × 915,391.13
  4. Step 4: Simplify right side
    417,089.25x = 837,940,911,728.77
  5. Step 5: Solve for x
    x = 837,940,911,728.77/417,089.25
  6. Step 6: Final answer
    x = 2,009,020.64

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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.