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Finding the Third Proportional to 129,681 and 268,362

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Solution

The third proportional to 129,681 and 268,362 is: 555,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,681 : 268,362 = 268,362 : x
  2. Step 2: Convert to fraction form
    129,681/268,362 = 268,362/x
  3. Step 3: Cross multiply
    129,681x = 268,362 × 268,362
  4. Step 4: Simplify right side
    129,681x = 72,018,163,044
  5. Step 5: Solve for x
    x = 72,018,163,044/129,681
  6. Step 6: Final answer
    x = 555,348.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.