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Finding the Third Proportional to 139,894 and 302,124

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Solution

The third proportional to 139,894 and 302,124 is: 652,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,894 : 302,124 = 302,124 : x
  2. Step 2: Convert to fraction form
    139,894/302,124 = 302,124/x
  3. Step 3: Cross multiply
    139,894x = 302,124 × 302,124
  4. Step 4: Simplify right side
    139,894x = 91,278,911,376
  5. Step 5: Solve for x
    x = 91,278,911,376/139,894
  6. Step 6: Final answer
    x = 652,486.25

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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.