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Finding the Third Proportional to 163,700 and 242,940

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Solution

The third proportional to 163,700 and 242,940 is: 360,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,700 : 242,940 = 242,940 : x
  2. Step 2: Convert to fraction form
    163,700/242,940 = 242,940/x
  3. Step 3: Cross multiply
    163,700x = 242,940 × 242,940
  4. Step 4: Simplify right side
    163,700x = 59,019,843,600
  5. Step 5: Solve for x
    x = 59,019,843,600/163,700
  6. Step 6: Final answer
    x = 360,536.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.