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Finding the Third Proportional to 178,913 and 390,334

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Solution

The third proportional to 178,913 and 390,334 is: 851,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,913 : 390,334 = 390,334 : x
  2. Step 2: Convert to fraction form
    178,913/390,334 = 390,334/x
  3. Step 3: Cross multiply
    178,913x = 390,334 × 390,334
  4. Step 4: Simplify right side
    178,913x = 152,360,631,556
  5. Step 5: Solve for x
    x = 152,360,631,556/178,913
  6. Step 6: Final answer
    x = 851,590.61

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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.