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Finding the Third Proportional to 144,724 and 310,215

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Solution

The third proportional to 144,724 and 310,215 is: 664,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,724 : 310,215 = 310,215 : x
  2. Step 2: Convert to fraction form
    144,724/310,215 = 310,215/x
  3. Step 3: Cross multiply
    144,724x = 310,215 × 310,215
  4. Step 4: Simplify right side
    144,724x = 96,233,346,225
  5. Step 5: Solve for x
    x = 96,233,346,225/144,724
  6. Step 6: Final answer
    x = 664,943.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.