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Finding the Third Proportional to 426,424 and 917,376

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Solution

The third proportional to 426,424 and 917,376 is: 1,973,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,424 : 917,376 = 917,376 : x
  2. Step 2: Convert to fraction form
    426,424/917,376 = 917,376/x
  3. Step 3: Cross multiply
    426,424x = 917,376 × 917,376
  4. Step 4: Simplify right side
    426,424x = 841,578,725,376
  5. Step 5: Solve for x
    x = 841,578,725,376/426,424
  6. Step 6: Final answer
    x = 1,973,572.61

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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.