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Finding the Third Proportional to 261,814 and 570,283

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Solution

The third proportional to 261,814 and 570,283 is: 1,242,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,814 : 570,283 = 570,283 : x
  2. Step 2: Convert to fraction form
    261,814/570,283 = 570,283/x
  3. Step 3: Cross multiply
    261,814x = 570,283 × 570,283
  4. Step 4: Simplify right side
    261,814x = 325,222,700,089
  5. Step 5: Solve for x
    x = 325,222,700,089/261,814
  6. Step 6: Final answer
    x = 1,242,189.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.