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Finding the Third Proportional to 417,424 and 559,216

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Solution

The third proportional to 417,424 and 559,216 is: 749,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,424 : 559,216 = 559,216 : x
  2. Step 2: Convert to fraction form
    417,424/559,216 = 559,216/x
  3. Step 3: Cross multiply
    417,424x = 559,216 × 559,216
  4. Step 4: Simplify right side
    417,424x = 312,722,534,656
  5. Step 5: Solve for x
    x = 312,722,534,656/417,424
  6. Step 6: Final answer
    x = 749,172.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.