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Finding the Third Proportional to 56,316 and 122,988

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Solution

The third proportional to 56,316 and 122,988 is: 268,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,316 : 122,988 = 122,988 : x
  2. Step 2: Convert to fraction form
    56,316/122,988 = 122,988/x
  3. Step 3: Cross multiply
    56,316x = 122,988 × 122,988
  4. Step 4: Simplify right side
    56,316x = 15,126,048,144
  5. Step 5: Solve for x
    x = 15,126,048,144/56,316
  6. Step 6: Final answer
    x = 268,592.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.