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Finding the Third Proportional to 420,616.13 and 917,362.13

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Solution

The third proportional to 420,616.13 and 917,362.13 is: 2,000,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,616.13 : 917,362.13 = 917,362.13 : x
  2. Step 2: Convert to fraction form
    420,616.13/917,362.13 = 917,362.13/x
  3. Step 3: Cross multiply
    420,616.13x = 917,362.13 × 917,362.13
  4. Step 4: Simplify right side
    420,616.13x = 841,553,268,384.52
  5. Step 5: Solve for x
    x = 841,553,268,384.52/420,616.13
  6. Step 6: Final answer
    x = 2,000,763.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.