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Finding the Third Proportional to 277,513 and 413,197.50

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Solution

The third proportional to 277,513 and 413,197.50 is: 615,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,513 : 413,197.50 = 413,197.50 : x
  2. Step 2: Convert to fraction form
    277,513/413,197.50 = 413,197.50/x
  3. Step 3: Cross multiply
    277,513x = 413,197.50 × 413,197.50
  4. Step 4: Simplify right side
    277,513x = 170,732,174,006.25
  5. Step 5: Solve for x
    x = 170,732,174,006.25/277,513
  6. Step 6: Final answer
    x = 615,222.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.