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Finding the Third Proportional to 257,931 and 579,350

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Solution

The third proportional to 257,931 and 579,350 is: 1,301,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,931 : 579,350 = 579,350 : x
  2. Step 2: Convert to fraction form
    257,931/579,350 = 579,350/x
  3. Step 3: Cross multiply
    257,931x = 579,350 × 579,350
  4. Step 4: Simplify right side
    257,931x = 335,646,422,500
  5. Step 5: Solve for x
    x = 335,646,422,500/257,931
  6. Step 6: Final answer
    x = 1,301,303.15

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.