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Finding the Third Proportional to 259,557 and 575,478

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Solution

The third proportional to 259,557 and 575,478 is: 1,275,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,557 : 575,478 = 575,478 : x
  2. Step 2: Convert to fraction form
    259,557/575,478 = 575,478/x
  3. Step 3: Cross multiply
    259,557x = 575,478 × 575,478
  4. Step 4: Simplify right side
    259,557x = 331,174,928,484
  5. Step 5: Solve for x
    x = 331,174,928,484/259,557
  6. Step 6: Final answer
    x = 1,275,923.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.