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Finding the Third Proportional to 763,400 and 1,658,344

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Solution

The third proportional to 763,400 and 1,658,344 is: 3,602,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,400 : 1,658,344 = 1,658,344 : x
  2. Step 2: Convert to fraction form
    763,400/1,658,344 = 1,658,344/x
  3. Step 3: Cross multiply
    763,400x = 1,658,344 × 1,658,344
  4. Step 4: Simplify right side
    763,400x = 2,750,104,822,336
  5. Step 5: Solve for x
    x = 2,750,104,822,336/763,400
  6. Step 6: Final answer
    x = 3,602,442.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.