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Finding the Third Proportional to 828,288.28 and 1,215,167.06

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Solution

The third proportional to 828,288.28 and 1,215,167.06 is: 1,782,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,288.28 : 1,215,167.06 = 1,215,167.06 : x
  2. Step 2: Convert to fraction form
    828,288.28/1,215,167.06 = 1,215,167.06/x
  3. Step 3: Cross multiply
    828,288.28x = 1,215,167.06 × 1,215,167.06
  4. Step 4: Simplify right side
    828,288.28x = 1,476,630,989,784.88
  5. Step 5: Solve for x
    x = 1,476,630,989,784.88/828,288.28
  6. Step 6: Final answer
    x = 1,782,750.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.