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Finding the Third Proportional to 631,498 and 857,307

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Solution

The third proportional to 631,498 and 857,307 is: 1,163,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,498 : 857,307 = 857,307 : x
  2. Step 2: Convert to fraction form
    631,498/857,307 = 857,307/x
  3. Step 3: Cross multiply
    631,498x = 857,307 × 857,307
  4. Step 4: Simplify right side
    631,498x = 734,975,292,249
  5. Step 5: Solve for x
    x = 734,975,292,249/631,498
  6. Step 6: Final answer
    x = 1,163,860.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.