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Finding the Third Proportional to 508,993 and 787,403

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Solution

The third proportional to 508,993 and 787,403 is: 1,218,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,993 : 787,403 = 787,403 : x
  2. Step 2: Convert to fraction form
    508,993/787,403 = 787,403/x
  3. Step 3: Cross multiply
    508,993x = 787,403 × 787,403
  4. Step 4: Simplify right side
    508,993x = 620,003,484,409
  5. Step 5: Solve for x
    x = 620,003,484,409/508,993
  6. Step 6: Final answer
    x = 1,218,098.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.