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Finding the Third Proportional to 156,301 and 342,409

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Solution

The third proportional to 156,301 and 342,409 is: 750,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,301 : 342,409 = 342,409 : x
  2. Step 2: Convert to fraction form
    156,301/342,409 = 342,409/x
  3. Step 3: Cross multiply
    156,301x = 342,409 × 342,409
  4. Step 4: Simplify right side
    156,301x = 117,243,923,281
  5. Step 5: Solve for x
    x = 117,243,923,281/156,301
  6. Step 6: Final answer
    x = 750,116.27

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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.