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Finding the Third Proportional to 306,159 and 482,719

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Solution

The third proportional to 306,159 and 482,719 is: 761,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,159 : 482,719 = 482,719 : x
  2. Step 2: Convert to fraction form
    306,159/482,719 = 482,719/x
  3. Step 3: Cross multiply
    306,159x = 482,719 × 482,719
  4. Step 4: Simplify right side
    306,159x = 233,017,632,961
  5. Step 5: Solve for x
    x = 233,017,632,961/306,159
  6. Step 6: Final answer
    x = 761,100.06

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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.