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Finding the Third Proportional to 642,972 and 905,706

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Solution

The third proportional to 642,972 and 905,706 is: 1,275,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,972 : 905,706 = 905,706 : x
  2. Step 2: Convert to fraction form
    642,972/905,706 = 905,706/x
  3. Step 3: Cross multiply
    642,972x = 905,706 × 905,706
  4. Step 4: Simplify right side
    642,972x = 820,303,358,436
  5. Step 5: Solve for x
    x = 820,303,358,436/642,972
  6. Step 6: Final answer
    x = 1,275,799.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.