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Finding the Third Proportional to 660,746 and 1,050,195

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Solution

The third proportional to 660,746 and 1,050,195 is: 1,669,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,746 : 1,050,195 = 1,050,195 : x
  2. Step 2: Convert to fraction form
    660,746/1,050,195 = 1,050,195/x
  3. Step 3: Cross multiply
    660,746x = 1,050,195 × 1,050,195
  4. Step 4: Simplify right side
    660,746x = 1,102,909,538,025
  5. Step 5: Solve for x
    x = 1,102,909,538,025/660,746
  6. Step 6: Final answer
    x = 1,669,188.37

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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.