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Finding the Third Proportional to 129,402 and 266,580

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Solution

The third proportional to 129,402 and 266,580 is: 549,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,402 : 266,580 = 266,580 : x
  2. Step 2: Convert to fraction form
    129,402/266,580 = 266,580/x
  3. Step 3: Cross multiply
    129,402x = 266,580 × 266,580
  4. Step 4: Simplify right side
    129,402x = 71,064,896,400
  5. Step 5: Solve for x
    x = 71,064,896,400/129,402
  6. Step 6: Final answer
    x = 549,179.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.