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Finding the Third Proportional to 140,566 and 223,362

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Solution

The third proportional to 140,566 and 223,362 is: 354,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,566 : 223,362 = 223,362 : x
  2. Step 2: Convert to fraction form
    140,566/223,362 = 223,362/x
  3. Step 3: Cross multiply
    140,566x = 223,362 × 223,362
  4. Step 4: Simplify right side
    140,566x = 49,890,583,044
  5. Step 5: Solve for x
    x = 49,890,583,044/140,566
  6. Step 6: Final answer
    x = 354,926.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.