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Finding the Third Proportional to 305,384 and 651,352

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Solution

The third proportional to 305,384 and 651,352 is: 1,389,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,384 : 651,352 = 651,352 : x
  2. Step 2: Convert to fraction form
    305,384/651,352 = 651,352/x
  3. Step 3: Cross multiply
    305,384x = 651,352 × 651,352
  4. Step 4: Simplify right side
    305,384x = 424,259,427,904
  5. Step 5: Solve for x
    x = 424,259,427,904/305,384
  6. Step 6: Final answer
    x = 1,389,265.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.