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Finding the Third Proportional to 370,768 and 813,726

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Solution

The third proportional to 370,768 and 813,726 is: 1,785,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,768 : 813,726 = 813,726 : x
  2. Step 2: Convert to fraction form
    370,768/813,726 = 813,726/x
  3. Step 3: Cross multiply
    370,768x = 813,726 × 813,726
  4. Step 4: Simplify right side
    370,768x = 662,150,003,076
  5. Step 5: Solve for x
    x = 662,150,003,076/370,768
  6. Step 6: Final answer
    x = 1,785,887.68

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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.