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Finding the Third Proportional to 666,321.19 and 1,058,530.78

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Solution

The third proportional to 666,321.19 and 1,058,530.78 is: 1,681,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,321.19 : 1,058,530.78 = 1,058,530.78 : x
  2. Step 2: Convert to fraction form
    666,321.19/1,058,530.78 = 1,058,530.78/x
  3. Step 3: Cross multiply
    666,321.19x = 1,058,530.78 × 1,058,530.78
  4. Step 4: Simplify right side
    666,321.19x = 1,120,487,414,853.74
  5. Step 5: Solve for x
    x = 1,120,487,414,853.74/666,321.19
  6. Step 6: Final answer
    x = 1,681,602.56

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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.