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Finding the Third Proportional to 115,306 and 253,313

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Solution

The third proportional to 115,306 and 253,313 is: 556,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,306 : 253,313 = 253,313 : x
  2. Step 2: Convert to fraction form
    115,306/253,313 = 253,313/x
  3. Step 3: Cross multiply
    115,306x = 253,313 × 253,313
  4. Step 4: Simplify right side
    115,306x = 64,167,475,969
  5. Step 5: Solve for x
    x = 64,167,475,969/115,306
  6. Step 6: Final answer
    x = 556,497.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.