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Finding the Third Proportional to 121,748 and 265,642

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Solution

The third proportional to 121,748 and 265,642 is: 579,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,748 : 265,642 = 265,642 : x
  2. Step 2: Convert to fraction form
    121,748/265,642 = 265,642/x
  3. Step 3: Cross multiply
    121,748x = 265,642 × 265,642
  4. Step 4: Simplify right side
    121,748x = 70,565,672,164
  5. Step 5: Solve for x
    x = 70,565,672,164/121,748
  6. Step 6: Final answer
    x = 579,604.36

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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.