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Finding the Third Proportional to 129,603 and 269,547

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Solution

The third proportional to 129,603 and 269,547 is: 560,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603 : 269,547 = 269,547 : x
  2. Step 2: Convert to fraction form
    129,603/269,547 = 269,547/x
  3. Step 3: Cross multiply
    129,603x = 269,547 × 269,547
  4. Step 4: Simplify right side
    129,603x = 72,655,585,209
  5. Step 5: Solve for x
    x = 72,655,585,209/129,603
  6. Step 6: Final answer
    x = 560,601.11

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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.