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Finding the Third Proportional to 156,005 and 235,403

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Solution

The third proportional to 156,005 and 235,403 is: 355,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,005 : 235,403 = 235,403 : x
  2. Step 2: Convert to fraction form
    156,005/235,403 = 235,403/x
  3. Step 3: Cross multiply
    156,005x = 235,403 × 235,403
  4. Step 4: Simplify right side
    156,005x = 55,414,572,409
  5. Step 5: Solve for x
    x = 55,414,572,409/156,005
  6. Step 6: Final answer
    x = 355,210.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.