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Finding the Third Proportional to 528,945.75 and 743,242.50

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Solution

The third proportional to 528,945.75 and 743,242.50 is: 1,044,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,945.75 : 743,242.50 = 743,242.50 : x
  2. Step 2: Convert to fraction form
    528,945.75/743,242.50 = 743,242.50/x
  3. Step 3: Cross multiply
    528,945.75x = 743,242.50 × 743,242.50
  4. Step 4: Simplify right side
    528,945.75x = 552,409,413,806.25
  5. Step 5: Solve for x
    x = 552,409,413,806.25/528,945.75
  6. Step 6: Final answer
    x = 1,044,359.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.