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Finding the Third Proportional to 434,706 and 921,748

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Solution

The third proportional to 434,706 and 921,748 is: 1,954,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,706 : 921,748 = 921,748 : x
  2. Step 2: Convert to fraction form
    434,706/921,748 = 921,748/x
  3. Step 3: Cross multiply
    434,706x = 921,748 × 921,748
  4. Step 4: Simplify right side
    434,706x = 849,619,375,504
  5. Step 5: Solve for x
    x = 849,619,375,504/434,706
  6. Step 6: Final answer
    x = 1,954,468.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.