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Finding the Third Proportional to 357,040.50 and 521,877.75

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Solution

The third proportional to 357,040.50 and 521,877.75 is: 762,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,040.50 : 521,877.75 = 521,877.75 : x
  2. Step 2: Convert to fraction form
    357,040.50/521,877.75 = 521,877.75/x
  3. Step 3: Cross multiply
    357,040.50x = 521,877.75 × 521,877.75
  4. Step 4: Simplify right side
    357,040.50x = 272,356,385,945.06
  5. Step 5: Solve for x
    x = 272,356,385,945.06/357,040.50
  6. Step 6: Final answer
    x = 762,816.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.