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Finding the Third Proportional to 246,720 and 390,288

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Solution

The third proportional to 246,720 and 390,288 is: 617,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,720 : 390,288 = 390,288 : x
  2. Step 2: Convert to fraction form
    246,720/390,288 = 390,288/x
  3. Step 3: Cross multiply
    246,720x = 390,288 × 390,288
  4. Step 4: Simplify right side
    246,720x = 152,324,722,944
  5. Step 5: Solve for x
    x = 152,324,722,944/246,720
  6. Step 6: Final answer
    x = 617,399.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.