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Finding the Third Proportional to 270,080 and 581,712

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Solution

The third proportional to 270,080 and 581,712 is: 1,252,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,080 : 581,712 = 581,712 : x
  2. Step 2: Convert to fraction form
    270,080/581,712 = 581,712/x
  3. Step 3: Cross multiply
    270,080x = 581,712 × 581,712
  4. Step 4: Simplify right side
    270,080x = 338,388,850,944
  5. Step 5: Solve for x
    x = 338,388,850,944/270,080
  6. Step 6: Final answer
    x = 1,252,920.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.