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Finding the Third Proportional to 69,005 and 140,547

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Solution

The third proportional to 69,005 and 140,547 is: 286,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,005 : 140,547 = 140,547 : x
  2. Step 2: Convert to fraction form
    69,005/140,547 = 140,547/x
  3. Step 3: Cross multiply
    69,005x = 140,547 × 140,547
  4. Step 4: Simplify right side
    69,005x = 19,753,459,209
  5. Step 5: Solve for x
    x = 19,753,459,209/69,005
  6. Step 6: Final answer
    x = 286,261.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.