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Finding the Third Proportional to 118,368 and 178,784

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Solution

The third proportional to 118,368 and 178,784 is: 270,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,368 : 178,784 = 178,784 : x
  2. Step 2: Convert to fraction form
    118,368/178,784 = 178,784/x
  3. Step 3: Cross multiply
    118,368x = 178,784 × 178,784
  4. Step 4: Simplify right side
    118,368x = 31,963,718,656
  5. Step 5: Solve for x
    x = 31,963,718,656/118,368
  6. Step 6: Final answer
    x = 270,036.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.