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Finding the Third Proportional to 140,781.50 and 306,348.50

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Solution

The third proportional to 140,781.50 and 306,348.50 is: 666,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,781.50 : 306,348.50 = 306,348.50 : x
  2. Step 2: Convert to fraction form
    140,781.50/306,348.50 = 306,348.50/x
  3. Step 3: Cross multiply
    140,781.50x = 306,348.50 × 306,348.50
  4. Step 4: Simplify right side
    140,781.50x = 93,849,403,452.25
  5. Step 5: Solve for x
    x = 93,849,403,452.25/140,781.50
  6. Step 6: Final answer
    x = 666,631.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.