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Finding the Third Proportional to 161,316 and 256,236

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Solution

The third proportional to 161,316 and 256,236 is: 407,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,316 : 256,236 = 256,236 : x
  2. Step 2: Convert to fraction form
    161,316/256,236 = 256,236/x
  3. Step 3: Cross multiply
    161,316x = 256,236 × 256,236
  4. Step 4: Simplify right side
    161,316x = 65,656,887,696
  5. Step 5: Solve for x
    x = 65,656,887,696/161,316
  6. Step 6: Final answer
    x = 407,007.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.