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Finding the Third Proportional to 268,099 and 417,970

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Solution

The third proportional to 268,099 and 417,970 is: 651,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,099 : 417,970 = 417,970 : x
  2. Step 2: Convert to fraction form
    268,099/417,970 = 417,970/x
  3. Step 3: Cross multiply
    268,099x = 417,970 × 417,970
  4. Step 4: Simplify right side
    268,099x = 174,698,920,900
  5. Step 5: Solve for x
    x = 174,698,920,900/268,099
  6. Step 6: Final answer
    x = 651,620.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.