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Finding the Third Proportional to 221,820 and 310,442

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Solution

The third proportional to 221,820 and 310,442 is: 434,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,820 : 310,442 = 310,442 : x
  2. Step 2: Convert to fraction form
    221,820/310,442 = 310,442/x
  3. Step 3: Cross multiply
    221,820x = 310,442 × 310,442
  4. Step 4: Simplify right side
    221,820x = 96,374,235,364
  5. Step 5: Solve for x
    x = 96,374,235,364/221,820
  6. Step 6: Final answer
    x = 434,470.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.