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Finding the Third Proportional to 357,860 and 783,031

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Solution

The third proportional to 357,860 and 783,031 is: 1,713,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,860 : 783,031 = 783,031 : x
  2. Step 2: Convert to fraction form
    357,860/783,031 = 783,031/x
  3. Step 3: Cross multiply
    357,860x = 783,031 × 783,031
  4. Step 4: Simplify right side
    357,860x = 613,137,546,961
  5. Step 5: Solve for x
    x = 613,137,546,961/357,860
  6. Step 6: Final answer
    x = 1,713,344.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.