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Finding the Third Proportional to 571,800 and 803,265

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Solution

The third proportional to 571,800 and 803,265 is: 1,128,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,800 : 803,265 = 803,265 : x
  2. Step 2: Convert to fraction form
    571,800/803,265 = 803,265/x
  3. Step 3: Cross multiply
    571,800x = 803,265 × 803,265
  4. Step 4: Simplify right side
    571,800x = 645,234,660,225
  5. Step 5: Solve for x
    x = 645,234,660,225/571,800
  6. Step 6: Final answer
    x = 1,128,427.18

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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.