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Finding the Third Proportional to 370,666 and 813,502

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Solution

The third proportional to 370,666 and 813,502 is: 1,785,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,666 : 813,502 = 813,502 : x
  2. Step 2: Convert to fraction form
    370,666/813,502 = 813,502/x
  3. Step 3: Cross multiply
    370,666x = 813,502 × 813,502
  4. Step 4: Simplify right side
    370,666x = 661,785,504,004
  5. Step 5: Solve for x
    x = 661,785,504,004/370,666
  6. Step 6: Final answer
    x = 1,785,395.76

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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.