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Finding the Third Proportional to 128,575.50 and 286,959

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Solution

The third proportional to 128,575.50 and 286,959 is: 640,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,575.50 : 286,959 = 286,959 : x
  2. Step 2: Convert to fraction form
    128,575.50/286,959 = 286,959/x
  3. Step 3: Cross multiply
    128,575.50x = 286,959 × 286,959
  4. Step 4: Simplify right side
    128,575.50x = 82,345,467,681
  5. Step 5: Solve for x
    x = 82,345,467,681/128,575.50
  6. Step 6: Final answer
    x = 640,444.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.