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Finding the Third Proportional to 147,720 and 356,130

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Solution

The third proportional to 147,720 and 356,130 is: 858,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,720 : 356,130 = 356,130 : x
  2. Step 2: Convert to fraction form
    147,720/356,130 = 356,130/x
  3. Step 3: Cross multiply
    147,720x = 356,130 × 356,130
  4. Step 4: Simplify right side
    147,720x = 126,828,576,900
  5. Step 5: Solve for x
    x = 126,828,576,900/147,720
  6. Step 6: Final answer
    x = 858,574.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.