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Finding the Third Proportional to 77,410 and 119,139

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Solution

The third proportional to 77,410 and 119,139 is: 183,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410 : 119,139 = 119,139 : x
  2. Step 2: Convert to fraction form
    77,410/119,139 = 119,139/x
  3. Step 3: Cross multiply
    77,410x = 119,139 × 119,139
  4. Step 4: Simplify right side
    77,410x = 14,194,101,321
  5. Step 5: Solve for x
    x = 14,194,101,321/77,410
  6. Step 6: Final answer
    x = 183,362.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.