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Finding the Third Proportional to 140,821.03 and 216,152.30

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Solution

The third proportional to 140,821.03 and 216,152.30 is: 331,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,821.03 : 216,152.30 = 216,152.30 : x
  2. Step 2: Convert to fraction form
    140,821.03/216,152.30 = 216,152.30/x
  3. Step 3: Cross multiply
    140,821.03x = 216,152.30 × 216,152.30
  4. Step 4: Simplify right side
    140,821.03x = 46,721,815,444.34
  5. Step 5: Solve for x
    x = 46,721,815,444.34/140,821.03
  6. Step 6: Final answer
    x = 331,781.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.