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Finding the Third Proportional to 402,357.50 and 563,865.75

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Solution

The third proportional to 402,357.50 and 563,865.75 is: 790,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,357.50 : 563,865.75 = 563,865.75 : x
  2. Step 2: Convert to fraction form
    402,357.50/563,865.75 = 563,865.75/x
  3. Step 3: Cross multiply
    402,357.50x = 563,865.75 × 563,865.75
  4. Step 4: Simplify right side
    402,357.50x = 317,944,584,023.06
  5. Step 5: Solve for x
    x = 317,944,584,023.06/402,357.50
  6. Step 6: Final answer
    x = 790,204.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.