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Finding the Third Proportional to 426,357 and 917,230

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Solution

The third proportional to 426,357 and 917,230 is: 1,973,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,357 : 917,230 = 917,230 : x
  2. Step 2: Convert to fraction form
    426,357/917,230 = 917,230/x
  3. Step 3: Cross multiply
    426,357x = 917,230 × 917,230
  4. Step 4: Simplify right side
    426,357x = 841,310,872,900
  5. Step 5: Solve for x
    x = 841,310,872,900/426,357
  6. Step 6: Final answer
    x = 1,973,254.51

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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.