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Finding the Third Proportional to 426,367 and 917,248

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Solution

The third proportional to 426,367 and 917,248 is: 1,973,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,367 : 917,248 = 917,248 : x
  2. Step 2: Convert to fraction form
    426,367/917,248 = 917,248/x
  3. Step 3: Cross multiply
    426,367x = 917,248 × 917,248
  4. Step 4: Simplify right side
    426,367x = 841,343,893,504
  5. Step 5: Solve for x
    x = 841,343,893,504/426,367
  6. Step 6: Final answer
    x = 1,973,285.68

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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.