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Finding the Third Proportional to 157,780 and 346,160

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Solution

The third proportional to 157,780 and 346,160 is: 759,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,780 : 346,160 = 346,160 : x
  2. Step 2: Convert to fraction form
    157,780/346,160 = 346,160/x
  3. Step 3: Cross multiply
    157,780x = 346,160 × 346,160
  4. Step 4: Simplify right side
    157,780x = 119,826,745,600
  5. Step 5: Solve for x
    x = 119,826,745,600/157,780
  6. Step 6: Final answer
    x = 759,454.59

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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.