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Finding the Third Proportional to 452,785.50 and 612,747.75

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Solution

The third proportional to 452,785.50 and 612,747.75 is: 829,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,785.50 : 612,747.75 = 612,747.75 : x
  2. Step 2: Convert to fraction form
    452,785.50/612,747.75 = 612,747.75/x
  3. Step 3: Cross multiply
    452,785.50x = 612,747.75 × 612,747.75
  4. Step 4: Simplify right side
    452,785.50x = 375,459,805,130.06
  5. Step 5: Solve for x
    x = 375,459,805,130.06/452,785.50
  6. Step 6: Final answer
    x = 829,222.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.