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Finding the Third Proportional to 77,931 and 168,316

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Solution

The third proportional to 77,931 and 168,316 is: 363,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,931 : 168,316 = 168,316 : x
  2. Step 2: Convert to fraction form
    77,931/168,316 = 168,316/x
  3. Step 3: Cross multiply
    77,931x = 168,316 × 168,316
  4. Step 4: Simplify right side
    77,931x = 28,330,275,856
  5. Step 5: Solve for x
    x = 28,330,275,856/77,931
  6. Step 6: Final answer
    x = 363,530.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.