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Finding the Third Proportional to 257,929.31 and 417,853.69

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Solution

The third proportional to 257,929.31 and 417,853.69 is: 676,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,929.31 : 417,853.69 = 417,853.69 : x
  2. Step 2: Convert to fraction form
    257,929.31/417,853.69 = 417,853.69/x
  3. Step 3: Cross multiply
    257,929.31x = 417,853.69 × 417,853.69
  4. Step 4: Simplify right side
    257,929.31x = 174,601,704,157.35
  5. Step 5: Solve for x
    x = 174,601,704,157.35/257,929.31
  6. Step 6: Final answer
    x = 676,936.26

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.