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Finding the Third Proportional to 151,719 and 313,239

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Solution

The third proportional to 151,719 and 313,239 is: 646,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,719 : 313,239 = 313,239 : x
  2. Step 2: Convert to fraction form
    151,719/313,239 = 313,239/x
  3. Step 3: Cross multiply
    151,719x = 313,239 × 313,239
  4. Step 4: Simplify right side
    151,719x = 98,118,671,121
  5. Step 5: Solve for x
    x = 98,118,671,121/151,719
  6. Step 6: Final answer
    x = 646,713.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.