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Finding the Third Proportional to 395,307 and 865,890

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Solution

The third proportional to 395,307 and 865,890 is: 1,896,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,307 : 865,890 = 865,890 : x
  2. Step 2: Convert to fraction form
    395,307/865,890 = 865,890/x
  3. Step 3: Cross multiply
    395,307x = 865,890 × 865,890
  4. Step 4: Simplify right side
    395,307x = 749,765,492,100
  5. Step 5: Solve for x
    x = 749,765,492,100/395,307
  6. Step 6: Final answer
    x = 1,896,666.37

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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.