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Finding the Third Proportional to 151,188 and 322,776

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Solution

The third proportional to 151,188 and 322,776 is: 689,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,188 : 322,776 = 322,776 : x
  2. Step 2: Convert to fraction form
    151,188/322,776 = 322,776/x
  3. Step 3: Cross multiply
    151,188x = 322,776 × 322,776
  4. Step 4: Simplify right side
    151,188x = 104,184,346,176
  5. Step 5: Solve for x
    x = 104,184,346,176/151,188
  6. Step 6: Final answer
    x = 689,104.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.