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Finding the Third Proportional to 56,140 and 121,804

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Solution

The third proportional to 56,140 and 121,804 is: 264,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,140 : 121,804 = 121,804 : x
  2. Step 2: Convert to fraction form
    56,140/121,804 = 121,804/x
  3. Step 3: Cross multiply
    56,140x = 121,804 × 121,804
  4. Step 4: Simplify right side
    56,140x = 14,836,214,416
  5. Step 5: Solve for x
    x = 14,836,214,416/56,140
  6. Step 6: Final answer
    x = 264,271.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.