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Finding the Third Proportional to 118,688 and 178,528

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Solution

The third proportional to 118,688 and 178,528 is: 268,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,688 : 178,528 = 178,528 : x
  2. Step 2: Convert to fraction form
    118,688/178,528 = 178,528/x
  3. Step 3: Cross multiply
    118,688x = 178,528 × 178,528
  4. Step 4: Simplify right side
    118,688x = 31,872,246,784
  5. Step 5: Solve for x
    x = 31,872,246,784/118,688
  6. Step 6: Final answer
    x = 268,538.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.