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Finding the Third Proportional to 349,940.25 and 819,446.63

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Solution

The third proportional to 349,940.25 and 819,446.63 is: 1,918,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,940.25 : 819,446.63 = 819,446.63 : x
  2. Step 2: Convert to fraction form
    349,940.25/819,446.63 = 819,446.63/x
  3. Step 3: Cross multiply
    349,940.25x = 819,446.63 × 819,446.63
  4. Step 4: Simplify right side
    349,940.25x = 671,492,771,223.89
  5. Step 5: Solve for x
    x = 671,492,771,223.89/349,940.25
  6. Step 6: Final answer
    x = 1,918,878.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.