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Finding the Third Proportional to 69,316 and 147,272

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Solution

The third proportional to 69,316 and 147,272 is: 312,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,316 : 147,272 = 147,272 : x
  2. Step 2: Convert to fraction form
    69,316/147,272 = 147,272/x
  3. Step 3: Cross multiply
    69,316x = 147,272 × 147,272
  4. Step 4: Simplify right side
    69,316x = 21,689,041,984
  5. Step 5: Solve for x
    x = 21,689,041,984/69,316
  6. Step 6: Final answer
    x = 312,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.