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Finding the Third Proportional to 265,494 and 420,606

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Solution

The third proportional to 265,494 and 420,606 is: 666,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,494 : 420,606 = 420,606 : x
  2. Step 2: Convert to fraction form
    265,494/420,606 = 420,606/x
  3. Step 3: Cross multiply
    265,494x = 420,606 × 420,606
  4. Step 4: Simplify right side
    265,494x = 176,909,407,236
  5. Step 5: Solve for x
    x = 176,909,407,236/265,494
  6. Step 6: Final answer
    x = 666,340.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.