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Finding the Third Proportional to 122,046 and 285,135

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Solution

The third proportional to 122,046 and 285,135 is: 666,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,046 : 285,135 = 285,135 : x
  2. Step 2: Convert to fraction form
    122,046/285,135 = 285,135/x
  3. Step 3: Cross multiply
    122,046x = 285,135 × 285,135
  4. Step 4: Simplify right side
    122,046x = 81,301,968,225
  5. Step 5: Solve for x
    x = 81,301,968,225/122,046
  6. Step 6: Final answer
    x = 666,158.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.