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Finding the Third Proportional to 261,700 and 415,064

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Solution

The third proportional to 261,700 and 415,064 is: 658,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,700 : 415,064 = 415,064 : x
  2. Step 2: Convert to fraction form
    261,700/415,064 = 415,064/x
  3. Step 3: Cross multiply
    261,700x = 415,064 × 415,064
  4. Step 4: Simplify right side
    261,700x = 172,278,124,096
  5. Step 5: Solve for x
    x = 172,278,124,096/261,700
  6. Step 6: Final answer
    x = 658,303.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.