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Finding the Third Proportional to 157,719 and 340,710

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Solution

The third proportional to 157,719 and 340,710 is: 736,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,719 : 340,710 = 340,710 : x
  2. Step 2: Convert to fraction form
    157,719/340,710 = 340,710/x
  3. Step 3: Cross multiply
    157,719x = 340,710 × 340,710
  4. Step 4: Simplify right side
    157,719x = 116,083,304,100
  5. Step 5: Solve for x
    x = 116,083,304,100/157,719
  6. Step 6: Final answer
    x = 736,013.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.