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Finding the Third Proportional to 399,282 and 598,307

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Solution

The third proportional to 399,282 and 598,307 is: 896,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,282 : 598,307 = 598,307 : x
  2. Step 2: Convert to fraction form
    399,282/598,307 = 598,307/x
  3. Step 3: Cross multiply
    399,282x = 598,307 × 598,307
  4. Step 4: Simplify right side
    399,282x = 357,971,266,249
  5. Step 5: Solve for x
    x = 357,971,266,249/399,282
  6. Step 6: Final answer
    x = 896,537.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.