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Finding the Third Proportional to 426,404 and 917,344

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Solution

The third proportional to 426,404 and 917,344 is: 1,973,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,404 : 917,344 = 917,344 : x
  2. Step 2: Convert to fraction form
    426,404/917,344 = 917,344/x
  3. Step 3: Cross multiply
    426,404x = 917,344 × 917,344
  4. Step 4: Simplify right side
    426,404x = 841,520,014,336
  5. Step 5: Solve for x
    x = 841,520,014,336/426,404
  6. Step 6: Final answer
    x = 1,973,527.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.