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Finding the Third Proportional to 426,406 and 917,348

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Solution

The third proportional to 426,406 and 917,348 is: 1,973,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,406 : 917,348 = 917,348 : x
  2. Step 2: Convert to fraction form
    426,406/917,348 = 917,348/x
  3. Step 3: Cross multiply
    426,406x = 917,348 × 917,348
  4. Step 4: Simplify right side
    426,406x = 841,527,353,104
  5. Step 5: Solve for x
    x = 841,527,353,104/426,406
  6. Step 6: Final answer
    x = 1,973,535.44

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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.