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Finding the Third Proportional to 370,770 and 813,729

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Solution

The third proportional to 370,770 and 813,729 is: 1,785,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,770 : 813,729 = 813,729 : x
  2. Step 2: Convert to fraction form
    370,770/813,729 = 813,729/x
  3. Step 3: Cross multiply
    370,770x = 813,729 × 813,729
  4. Step 4: Simplify right side
    370,770x = 662,154,885,441
  5. Step 5: Solve for x
    x = 662,154,885,441/370,770
  6. Step 6: Final answer
    x = 1,785,891.21

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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.