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Finding the Third Proportional to 69,574 and 151,646

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Solution

The third proportional to 69,574 and 151,646 is: 330,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,574 : 151,646 = 151,646 : x
  2. Step 2: Convert to fraction form
    69,574/151,646 = 151,646/x
  3. Step 3: Cross multiply
    69,574x = 151,646 × 151,646
  4. Step 4: Simplify right side
    69,574x = 22,996,509,316
  5. Step 5: Solve for x
    x = 22,996,509,316/69,574
  6. Step 6: Final answer
    x = 330,533.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.