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Finding the Third Proportional to 92,556 and 202,776

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Solution

The third proportional to 92,556 and 202,776 is: 444,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,556 : 202,776 = 202,776 : x
  2. Step 2: Convert to fraction form
    92,556/202,776 = 202,776/x
  3. Step 3: Cross multiply
    92,556x = 202,776 × 202,776
  4. Step 4: Simplify right side
    92,556x = 41,118,106,176
  5. Step 5: Solve for x
    x = 41,118,106,176/92,556
  6. Step 6: Final answer
    x = 444,251.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.