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Finding the Third Proportional to 161,138 and 352,840

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Solution

The third proportional to 161,138 and 352,840 is: 772,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,138 : 352,840 = 352,840 : x
  2. Step 2: Convert to fraction form
    161,138/352,840 = 352,840/x
  3. Step 3: Cross multiply
    161,138x = 352,840 × 352,840
  4. Step 4: Simplify right side
    161,138x = 124,496,065,600
  5. Step 5: Solve for x
    x = 124,496,065,600/161,138
  6. Step 6: Final answer
    x = 772,605.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.