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Finding the Third Proportional to 666,410 and 1,058,655

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Solution

The third proportional to 666,410 and 1,058,655 is: 1,681,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,410 : 1,058,655 = 1,058,655 : x
  2. Step 2: Convert to fraction form
    666,410/1,058,655 = 1,058,655/x
  3. Step 3: Cross multiply
    666,410x = 1,058,655 × 1,058,655
  4. Step 4: Simplify right side
    666,410x = 1,120,750,409,025
  5. Step 5: Solve for x
    x = 1,120,750,409,025/666,410
  6. Step 6: Final answer
    x = 1,681,773.10

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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.