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Finding the Third Proportional to 288,634.50 and 452,778

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Solution

The third proportional to 288,634.50 and 452,778 is: 710,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,634.50 : 452,778 = 452,778 : x
  2. Step 2: Convert to fraction form
    288,634.50/452,778 = 452,778/x
  3. Step 3: Cross multiply
    288,634.50x = 452,778 × 452,778
  4. Step 4: Simplify right side
    288,634.50x = 205,007,917,284
  5. Step 5: Solve for x
    x = 205,007,917,284/288,634.50
  6. Step 6: Final answer
    x = 710,268.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.