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Finding the Third Proportional to 218,408 and 468,702

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Solution

The third proportional to 218,408 and 468,702 is: 1,005,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,408 : 468,702 = 468,702 : x
  2. Step 2: Convert to fraction form
    218,408/468,702 = 468,702/x
  3. Step 3: Cross multiply
    218,408x = 468,702 × 468,702
  4. Step 4: Simplify right side
    218,408x = 219,681,564,804
  5. Step 5: Solve for x
    x = 219,681,564,804/218,408
  6. Step 6: Final answer
    x = 1,005,831.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.