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Finding the Third Proportional to 370,827 and 813,807

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Solution

The third proportional to 370,827 and 813,807 is: 1,785,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,827 : 813,807 = 813,807 : x
  2. Step 2: Convert to fraction form
    370,827/813,807 = 813,807/x
  3. Step 3: Cross multiply
    370,827x = 813,807 × 813,807
  4. Step 4: Simplify right side
    370,827x = 662,281,833,249
  5. Step 5: Solve for x
    x = 662,281,833,249/370,827
  6. Step 6: Final answer
    x = 1,785,959.04

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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.