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Finding the Third Proportional to 426,359 and 917,234

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Solution

The third proportional to 426,359 and 917,234 is: 1,973,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,359 : 917,234 = 917,234 : x
  2. Step 2: Convert to fraction form
    426,359/917,234 = 917,234/x
  3. Step 3: Cross multiply
    426,359x = 917,234 × 917,234
  4. Step 4: Simplify right side
    426,359x = 841,318,210,756
  5. Step 5: Solve for x
    x = 841,318,210,756/426,359
  6. Step 6: Final answer
    x = 1,973,262.46

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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.