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Finding the Third Proportional to 415,218 and 545,208

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Solution

The third proportional to 415,218 and 545,208 is: 715,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,218 : 545,208 = 545,208 : x
  2. Step 2: Convert to fraction form
    415,218/545,208 = 545,208/x
  3. Step 3: Cross multiply
    415,218x = 545,208 × 545,208
  4. Step 4: Simplify right side
    415,218x = 297,251,763,264
  5. Step 5: Solve for x
    x = 297,251,763,264/415,218
  6. Step 6: Final answer
    x = 715,893.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.