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Finding the Third Proportional to 666,427.50 and 1,005,529.50

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Solution

The third proportional to 666,427.50 and 1,005,529.50 is: 1,517,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,427.50 : 1,005,529.50 = 1,005,529.50 : x
  2. Step 2: Convert to fraction form
    666,427.50/1,005,529.50 = 1,005,529.50/x
  3. Step 3: Cross multiply
    666,427.50x = 1,005,529.50 × 1,005,529.50
  4. Step 4: Simplify right side
    666,427.50x = 1,011,089,575,370.25
  5. Step 5: Solve for x
    x = 1,011,089,575,370.25/666,427.50
  6. Step 6: Final answer
    x = 1,517,178.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.