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Finding the Third Proportional to 162,938 and 340,770

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Solution

The third proportional to 162,938 and 340,770 is: 712,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,938 : 340,770 = 340,770 : x
  2. Step 2: Convert to fraction form
    162,938/340,770 = 340,770/x
  3. Step 3: Cross multiply
    162,938x = 340,770 × 340,770
  4. Step 4: Simplify right side
    162,938x = 116,124,192,900
  5. Step 5: Solve for x
    x = 116,124,192,900/162,938
  6. Step 6: Final answer
    x = 712,689.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.