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Finding the Third Proportional to 367,459 and 787,403

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Solution

The third proportional to 367,459 and 787,403 is: 1,687,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,459 : 787,403 = 787,403 : x
  2. Step 2: Convert to fraction form
    367,459/787,403 = 787,403/x
  3. Step 3: Cross multiply
    367,459x = 787,403 × 787,403
  4. Step 4: Simplify right side
    367,459x = 620,003,484,409
  5. Step 5: Solve for x
    x = 620,003,484,409/367,459
  6. Step 6: Final answer
    x = 1,687,272.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.