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Finding the Third Proportional to 118,410 and 247,764

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Solution

The third proportional to 118,410 and 247,764 is: 518,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,410 : 247,764 = 247,764 : x
  2. Step 2: Convert to fraction form
    118,410/247,764 = 247,764/x
  3. Step 3: Cross multiply
    118,410x = 247,764 × 247,764
  4. Step 4: Simplify right side
    118,410x = 61,386,999,696
  5. Step 5: Solve for x
    x = 61,386,999,696/118,410
  6. Step 6: Final answer
    x = 518,427.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.