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Finding the Third Proportional to 156,010 and 256,263

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Solution

The third proportional to 156,010 and 256,263 is: 420,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,010 : 256,263 = 256,263 : x
  2. Step 2: Convert to fraction form
    156,010/256,263 = 256,263/x
  3. Step 3: Cross multiply
    156,010x = 256,263 × 256,263
  4. Step 4: Simplify right side
    156,010x = 65,670,725,169
  5. Step 5: Solve for x
    x = 65,670,725,169/156,010
  6. Step 6: Final answer
    x = 420,939.20

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.