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Finding the Third Proportional to 103,681 and 279,297

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Solution

The third proportional to 103,681 and 279,297 is: 752,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 279,297 = 279,297 : x
  2. Step 2: Convert to fraction form
    103,681/279,297 = 279,297/x
  3. Step 3: Cross multiply
    103,681x = 279,297 × 279,297
  4. Step 4: Simplify right side
    103,681x = 78,006,814,209
  5. Step 5: Solve for x
    x = 78,006,814,209/103,681
  6. Step 6: Final answer
    x = 752,373.28

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.