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Finding the Third Proportional to 420,931.69 and 923,356.13

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Solution

The third proportional to 420,931.69 and 923,356.13 is: 2,025,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,931.69 : 923,356.13 = 923,356.13 : x
  2. Step 2: Convert to fraction form
    420,931.69/923,356.13 = 923,356.13/x
  3. Step 3: Cross multiply
    420,931.69x = 923,356.13 × 923,356.13
  4. Step 4: Simplify right side
    420,931.69x = 852,586,533,575.02
  5. Step 5: Solve for x
    x = 852,586,533,575.02/420,931.69
  6. Step 6: Final answer
    x = 2,025,474.82

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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.