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Finding the Third Proportional to 179,640 and 392,341

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Solution

The third proportional to 179,640 and 392,341 is: 856,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,640 : 392,341 = 392,341 : x
  2. Step 2: Convert to fraction form
    179,640/392,341 = 392,341/x
  3. Step 3: Cross multiply
    179,640x = 392,341 × 392,341
  4. Step 4: Simplify right side
    179,640x = 153,931,460,281
  5. Step 5: Solve for x
    x = 153,931,460,281/179,640
  6. Step 6: Final answer
    x = 856,888.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.