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Finding the Third Proportional to 289,526 and 645,472

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Solution

The third proportional to 289,526 and 645,472 is: 1,439,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,526 : 645,472 = 645,472 : x
  2. Step 2: Convert to fraction form
    289,526/645,472 = 645,472/x
  3. Step 3: Cross multiply
    289,526x = 645,472 × 645,472
  4. Step 4: Simplify right side
    289,526x = 416,634,102,784
  5. Step 5: Solve for x
    x = 416,634,102,784/289,526
  6. Step 6: Final answer
    x = 1,439,021.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.