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Finding the Third Proportional to 115,580 and 248,402

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Solution

The third proportional to 115,580 and 248,402 is: 533,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,580 : 248,402 = 248,402 : x
  2. Step 2: Convert to fraction form
    115,580/248,402 = 248,402/x
  3. Step 3: Cross multiply
    115,580x = 248,402 × 248,402
  4. Step 4: Simplify right side
    115,580x = 61,703,553,604
  5. Step 5: Solve for x
    x = 61,703,553,604/115,580
  6. Step 6: Final answer
    x = 533,860.13

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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.