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Finding the Third Proportional to 157,770 and 346,158

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Solution

The third proportional to 157,770 and 346,158 is: 759,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,770 : 346,158 = 346,158 : x
  2. Step 2: Convert to fraction form
    157,770/346,158 = 346,158/x
  3. Step 3: Cross multiply
    157,770x = 346,158 × 346,158
  4. Step 4: Simplify right side
    157,770x = 119,825,360,964
  5. Step 5: Solve for x
    x = 119,825,360,964/157,770
  6. Step 6: Final answer
    x = 759,493.95

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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.