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Finding the Third Proportional to 153,489.38 and 314,586

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Solution

The third proportional to 153,489.38 and 314,586 is: 644,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,489.38 : 314,586 = 314,586 : x
  2. Step 2: Convert to fraction form
    153,489.38/314,586 = 314,586/x
  3. Step 3: Cross multiply
    153,489.38x = 314,586 × 314,586
  4. Step 4: Simplify right side
    153,489.38x = 98,964,351,396
  5. Step 5: Solve for x
    x = 98,964,351,396/153,489.38
  6. Step 6: Final answer
    x = 644,763.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.