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Finding the Third Proportional to 727,180 and 978,207

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Solution

The third proportional to 727,180 and 978,207 is: 1,315,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,180 : 978,207 = 978,207 : x
  2. Step 2: Convert to fraction form
    727,180/978,207 = 978,207/x
  3. Step 3: Cross multiply
    727,180x = 978,207 × 978,207
  4. Step 4: Simplify right side
    727,180x = 956,888,934,849
  5. Step 5: Solve for x
    x = 956,888,934,849/727,180
  6. Step 6: Final answer
    x = 1,315,890.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.