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Finding the Third Proportional to 77,283 and 163,011

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Solution

The third proportional to 77,283 and 163,011 is: 343,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,283 : 163,011 = 163,011 : x
  2. Step 2: Convert to fraction form
    77,283/163,011 = 163,011/x
  3. Step 3: Cross multiply
    77,283x = 163,011 × 163,011
  4. Step 4: Simplify right side
    77,283x = 26,572,586,121
  5. Step 5: Solve for x
    x = 26,572,586,121/77,283
  6. Step 6: Final answer
    x = 343,834.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.