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Finding the Third Proportional to 156,480 and 235,470

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Solution

The third proportional to 156,480 and 235,470 is: 354,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,480 : 235,470 = 235,470 : x
  2. Step 2: Convert to fraction form
    156,480/235,470 = 235,470/x
  3. Step 3: Cross multiply
    156,480x = 235,470 × 235,470
  4. Step 4: Simplify right side
    156,480x = 55,446,120,900
  5. Step 5: Solve for x
    x = 55,446,120,900/156,480
  6. Step 6: Final answer
    x = 354,333.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.