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Finding the Third Proportional to 155,040.50 and 233,776

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Solution

The third proportional to 155,040.50 and 233,776 is: 352,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,040.50 : 233,776 = 233,776 : x
  2. Step 2: Convert to fraction form
    155,040.50/233,776 = 233,776/x
  3. Step 3: Cross multiply
    155,040.50x = 233,776 × 233,776
  4. Step 4: Simplify right side
    155,040.50x = 54,651,218,176
  5. Step 5: Solve for x
    x = 54,651,218,176/155,040.50
  6. Step 6: Final answer
    x = 352,496.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.