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Finding the Third Proportional to 56,156 and 122,863

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Solution

The third proportional to 56,156 and 122,863 is: 268,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,156 : 122,863 = 122,863 : x
  2. Step 2: Convert to fraction form
    56,156/122,863 = 122,863/x
  3. Step 3: Cross multiply
    56,156x = 122,863 × 122,863
  4. Step 4: Simplify right side
    56,156x = 15,095,316,769
  5. Step 5: Solve for x
    x = 15,095,316,769/56,156
  6. Step 6: Final answer
    x = 268,810.40

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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.