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Finding the Third Proportional to 420,036 and 645,606

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Solution

The third proportional to 420,036 and 645,606 is: 992,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,036 : 645,606 = 645,606 : x
  2. Step 2: Convert to fraction form
    420,036/645,606 = 645,606/x
  3. Step 3: Cross multiply
    420,036x = 645,606 × 645,606
  4. Step 4: Simplify right side
    420,036x = 416,807,107,236
  5. Step 5: Solve for x
    x = 416,807,107,236/420,036
  6. Step 6: Final answer
    x = 992,312.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.