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Finding the Third Proportional to 556,330 and 834,120

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Solution

The third proportional to 556,330 and 834,120 is: 1,250,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,330 : 834,120 = 834,120 : x
  2. Step 2: Convert to fraction form
    556,330/834,120 = 834,120/x
  3. Step 3: Cross multiply
    556,330x = 834,120 × 834,120
  4. Step 4: Simplify right side
    556,330x = 695,756,174,400
  5. Step 5: Solve for x
    x = 695,756,174,400/556,330
  6. Step 6: Final answer
    x = 1,250,617.75

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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.