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Finding the Third Proportional to 233,302.50 and 345,030.75

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Solution

The third proportional to 233,302.50 and 345,030.75 is: 510,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,302.50 : 345,030.75 = 345,030.75 : x
  2. Step 2: Convert to fraction form
    233,302.50/345,030.75 = 345,030.75/x
  3. Step 3: Cross multiply
    233,302.50x = 345,030.75 × 345,030.75
  4. Step 4: Simplify right side
    233,302.50x = 119,046,218,445.56
  5. Step 5: Solve for x
    x = 119,046,218,445.56/233,302.50
  6. Step 6: Final answer
    x = 510,265.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.