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Finding the Third Proportional to 378,315 and 830,340

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Solution

The third proportional to 378,315 and 830,340 is: 1,822,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,315 : 830,340 = 830,340 : x
  2. Step 2: Convert to fraction form
    378,315/830,340 = 830,340/x
  3. Step 3: Cross multiply
    378,315x = 830,340 × 830,340
  4. Step 4: Simplify right side
    378,315x = 689,464,515,600
  5. Step 5: Solve for x
    x = 689,464,515,600/378,315
  6. Step 6: Final answer
    x = 1,822,461.48

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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.