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Finding the Third Proportional to 712,746 and 1,065,627

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Solution

The third proportional to 712,746 and 1,065,627 is: 1,593,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,746 : 1,065,627 = 1,065,627 : x
  2. Step 2: Convert to fraction form
    712,746/1,065,627 = 1,065,627/x
  3. Step 3: Cross multiply
    712,746x = 1,065,627 × 1,065,627
  4. Step 4: Simplify right side
    712,746x = 1,135,560,903,129
  5. Step 5: Solve for x
    x = 1,135,560,903,129/712,746
  6. Step 6: Final answer
    x = 1,593,219.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.