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Finding the Third Proportional to 315,856 and 417,336

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Solution

The third proportional to 315,856 and 417,336 is: 551,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,856 : 417,336 = 417,336 : x
  2. Step 2: Convert to fraction form
    315,856/417,336 = 417,336/x
  3. Step 3: Cross multiply
    315,856x = 417,336 × 417,336
  4. Step 4: Simplify right side
    315,856x = 174,169,336,896
  5. Step 5: Solve for x
    x = 174,169,336,896/315,856
  6. Step 6: Final answer
    x = 551,420.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.