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Finding the Third Proportional to 253,316 and 547,240

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Solution

The third proportional to 253,316 and 547,240 is: 1,182,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,316 : 547,240 = 547,240 : x
  2. Step 2: Convert to fraction form
    253,316/547,240 = 547,240/x
  3. Step 3: Cross multiply
    253,316x = 547,240 × 547,240
  4. Step 4: Simplify right side
    253,316x = 299,471,617,600
  5. Step 5: Solve for x
    x = 299,471,617,600/253,316
  6. Step 6: Final answer
    x = 1,182,205.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.