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Finding the Third Proportional to 158,430 and 230,511

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Solution

The third proportional to 158,430 and 230,511 is: 335,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,430 : 230,511 = 230,511 : x
  2. Step 2: Convert to fraction form
    158,430/230,511 = 230,511/x
  3. Step 3: Cross multiply
    158,430x = 230,511 × 230,511
  4. Step 4: Simplify right side
    158,430x = 53,135,321,121
  5. Step 5: Solve for x
    x = 53,135,321,121/158,430
  6. Step 6: Final answer
    x = 335,386.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.