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Finding the Third Proportional to 121,572 and 252,808

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Solution

The third proportional to 121,572 and 252,808 is: 525,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,572 : 252,808 = 252,808 : x
  2. Step 2: Convert to fraction form
    121,572/252,808 = 252,808/x
  3. Step 3: Cross multiply
    121,572x = 252,808 × 252,808
  4. Step 4: Simplify right side
    121,572x = 63,911,884,864
  5. Step 5: Solve for x
    x = 63,911,884,864/121,572
  6. Step 6: Final answer
    x = 525,712.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.