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Finding the Third Proportional to 711,371 and 1,085,120

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Solution

The third proportional to 711,371 and 1,085,120 is: 1,655,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,371 : 1,085,120 = 1,085,120 : x
  2. Step 2: Convert to fraction form
    711,371/1,085,120 = 1,085,120/x
  3. Step 3: Cross multiply
    711,371x = 1,085,120 × 1,085,120
  4. Step 4: Simplify right side
    711,371x = 1,177,485,414,400
  5. Step 5: Solve for x
    x = 1,177,485,414,400/711,371
  6. Step 6: Final answer
    x = 1,655,233.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.