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Finding the Third Proportional to 178,588 and 392,888

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Solution

The third proportional to 178,588 and 392,888 is: 864,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,588 : 392,888 = 392,888 : x
  2. Step 2: Convert to fraction form
    178,588/392,888 = 392,888/x
  3. Step 3: Cross multiply
    178,588x = 392,888 × 392,888
  4. Step 4: Simplify right side
    178,588x = 154,360,980,544
  5. Step 5: Solve for x
    x = 154,360,980,544/178,588
  6. Step 6: Final answer
    x = 864,341.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.