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Finding the Third Proportional to 121,237 and 265,045

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Solution

The third proportional to 121,237 and 265,045 is: 579,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,237 : 265,045 = 265,045 : x
  2. Step 2: Convert to fraction form
    121,237/265,045 = 265,045/x
  3. Step 3: Cross multiply
    121,237x = 265,045 × 265,045
  4. Step 4: Simplify right side
    121,237x = 70,248,852,025
  5. Step 5: Solve for x
    x = 70,248,852,025/121,237
  6. Step 6: Final answer
    x = 579,434.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.