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Finding the Third Proportional to 666,712.50 and 1,059,120

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Solution

The third proportional to 666,712.50 and 1,059,120 is: 1,682,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,712.50 : 1,059,120 = 1,059,120 : x
  2. Step 2: Convert to fraction form
    666,712.50/1,059,120 = 1,059,120/x
  3. Step 3: Cross multiply
    666,712.50x = 1,059,120 × 1,059,120
  4. Step 4: Simplify right side
    666,712.50x = 1,121,735,174,400
  5. Step 5: Solve for x
    x = 1,121,735,174,400/666,712.50
  6. Step 6: Final answer
    x = 1,682,487.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.