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Finding the Third Proportional to 656,238 and 938,409

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Solution

The third proportional to 656,238 and 938,409 is: 1,341,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,238 : 938,409 = 938,409 : x
  2. Step 2: Convert to fraction form
    656,238/938,409 = 938,409/x
  3. Step 3: Cross multiply
    656,238x = 938,409 × 938,409
  4. Step 4: Simplify right side
    656,238x = 880,611,451,281
  5. Step 5: Solve for x
    x = 880,611,451,281/656,238
  6. Step 6: Final answer
    x = 1,341,908.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.