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Finding the Third Proportional to 231,324 and 345,060.50

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Solution

The third proportional to 231,324 and 345,060.50 is: 514,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,324 : 345,060.50 = 345,060.50 : x
  2. Step 2: Convert to fraction form
    231,324/345,060.50 = 345,060.50/x
  3. Step 3: Cross multiply
    231,324x = 345,060.50 × 345,060.50
  4. Step 4: Simplify right side
    231,324x = 119,066,748,660.25
  5. Step 5: Solve for x
    x = 119,066,748,660.25/231,324
  6. Step 6: Final answer
    x = 514,718.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.