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Finding the Third Proportional to 296,820 and 415,203

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Solution

The third proportional to 296,820 and 415,203 is: 580,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,820 : 415,203 = 415,203 : x
  2. Step 2: Convert to fraction form
    296,820/415,203 = 415,203/x
  3. Step 3: Cross multiply
    296,820x = 415,203 × 415,203
  4. Step 4: Simplify right side
    296,820x = 172,393,531,209
  5. Step 5: Solve for x
    x = 172,393,531,209/296,820
  6. Step 6: Final answer
    x = 580,801.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.