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Finding the Third Proportional to 121,790.25 and 265,655.25

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Solution

The third proportional to 121,790.25 and 265,655.25 is: 579,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,790.25 : 265,655.25 = 265,655.25 : x
  2. Step 2: Convert to fraction form
    121,790.25/265,655.25 = 265,655.25/x
  3. Step 3: Cross multiply
    121,790.25x = 265,655.25 × 265,655.25
  4. Step 4: Simplify right side
    121,790.25x = 70,572,711,852.56
  5. Step 5: Solve for x
    x = 70,572,711,852.56/121,790.25
  6. Step 6: Final answer
    x = 579,461.10

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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.