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Finding the Third Proportional to 69,316 and 99,124

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Solution

The third proportional to 69,316 and 99,124 is: 141,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,316 : 99,124 = 99,124 : x
  2. Step 2: Convert to fraction form
    69,316/99,124 = 99,124/x
  3. Step 3: Cross multiply
    69,316x = 99,124 × 99,124
  4. Step 4: Simplify right side
    69,316x = 9,825,567,376
  5. Step 5: Solve for x
    x = 9,825,567,376/69,316
  6. Step 6: Final answer
    x = 141,750.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.