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Finding the Third Proportional to 370,671 and 813,513

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Solution

The third proportional to 370,671 and 813,513 is: 1,785,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,671 : 813,513 = 813,513 : x
  2. Step 2: Convert to fraction form
    370,671/813,513 = 813,513/x
  3. Step 3: Cross multiply
    370,671x = 813,513 × 813,513
  4. Step 4: Simplify right side
    370,671x = 661,803,401,169
  5. Step 5: Solve for x
    x = 661,803,401,169/370,671
  6. Step 6: Final answer
    x = 1,785,419.96

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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.