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Finding the Third Proportional to 135,648 and 205,776

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Solution

The third proportional to 135,648 and 205,776 is: 312,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 205,776 = 205,776 : x
  2. Step 2: Convert to fraction form
    135,648/205,776 = 205,776/x
  3. Step 3: Cross multiply
    135,648x = 205,776 × 205,776
  4. Step 4: Simplify right side
    135,648x = 42,343,762,176
  5. Step 5: Solve for x
    x = 42,343,762,176/135,648
  6. Step 6: Final answer
    x = 312,159.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.