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Finding the Third Proportional to 176,640 and 378,528

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Solution

The third proportional to 176,640 and 378,528 is: 811,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,640 : 378,528 = 378,528 : x
  2. Step 2: Convert to fraction form
    176,640/378,528 = 378,528/x
  3. Step 3: Cross multiply
    176,640x = 378,528 × 378,528
  4. Step 4: Simplify right side
    176,640x = 143,283,446,784
  5. Step 5: Solve for x
    x = 143,283,446,784/176,640
  6. Step 6: Final answer
    x = 811,160.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.