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Finding the Third Proportional to 160,497 and 345,888

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Solution

The third proportional to 160,497 and 345,888 is: 745,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497 : 345,888 = 345,888 : x
  2. Step 2: Convert to fraction form
    160,497/345,888 = 345,888/x
  3. Step 3: Cross multiply
    160,497x = 345,888 × 345,888
  4. Step 4: Simplify right side
    160,497x = 119,638,508,544
  5. Step 5: Solve for x
    x = 119,638,508,544/160,497
  6. Step 6: Final answer
    x = 745,425.20

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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.