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Finding the Third Proportional to 109,486.69 and 186,931.55

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Solution

The third proportional to 109,486.69 and 186,931.55 is: 319,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.69 : 186,931.55 = 186,931.55 : x
  2. Step 2: Convert to fraction form
    109,486.69/186,931.55 = 186,931.55/x
  3. Step 3: Cross multiply
    109,486.69x = 186,931.55 × 186,931.55
  4. Step 4: Simplify right side
    109,486.69x = 34,943,403,217.08
  5. Step 5: Solve for x
    x = 34,943,403,217.08/109,486.69
  6. Step 6: Final answer
    x = 319,156.64

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.