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Finding the Third Proportional to 115,748 and 245,718

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Solution

The third proportional to 115,748 and 245,718 is: 521,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,748 : 245,718 = 245,718 : x
  2. Step 2: Convert to fraction form
    115,748/245,718 = 245,718/x
  3. Step 3: Cross multiply
    115,748x = 245,718 × 245,718
  4. Step 4: Simplify right side
    115,748x = 60,377,335,524
  5. Step 5: Solve for x
    x = 60,377,335,524/115,748
  6. Step 6: Final answer
    x = 521,627.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.