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Finding the Third Proportional to 580,626 and 912,411

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Solution

The third proportional to 580,626 and 912,411 is: 1,433,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,626 : 912,411 = 912,411 : x
  2. Step 2: Convert to fraction form
    580,626/912,411 = 912,411/x
  3. Step 3: Cross multiply
    580,626x = 912,411 × 912,411
  4. Step 4: Simplify right side
    580,626x = 832,493,832,921
  5. Step 5: Solve for x
    x = 832,493,832,921/580,626
  6. Step 6: Final answer
    x = 1,433,786.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.