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Finding the Third Proportional to 391,264.50 and 857,346

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Solution

The third proportional to 391,264.50 and 857,346 is: 1,878,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,264.50 : 857,346 = 857,346 : x
  2. Step 2: Convert to fraction form
    391,264.50/857,346 = 857,346/x
  3. Step 3: Cross multiply
    391,264.50x = 857,346 × 857,346
  4. Step 4: Simplify right side
    391,264.50x = 735,042,163,716
  5. Step 5: Solve for x
    x = 735,042,163,716/391,264.50
  6. Step 6: Final answer
    x = 1,878,632.39

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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.