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Finding the Third Proportional to 173,214 and 385,776

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Solution

The third proportional to 173,214 and 385,776 is: 859,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,214 : 385,776 = 385,776 : x
  2. Step 2: Convert to fraction form
    173,214/385,776 = 385,776/x
  3. Step 3: Cross multiply
    173,214x = 385,776 × 385,776
  4. Step 4: Simplify right side
    173,214x = 148,823,122,176
  5. Step 5: Solve for x
    x = 148,823,122,176/173,214
  6. Step 6: Final answer
    x = 859,186.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.