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Finding the Third Proportional to 434,708 and 921,752

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Solution

The third proportional to 434,708 and 921,752 is: 1,954,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,708 : 921,752 = 921,752 : x
  2. Step 2: Convert to fraction form
    434,708/921,752 = 921,752/x
  3. Step 3: Cross multiply
    434,708x = 921,752 × 921,752
  4. Step 4: Simplify right side
    434,708x = 849,626,749,504
  5. Step 5: Solve for x
    x = 849,626,749,504/434,708
  6. Step 6: Final answer
    x = 1,954,476.91

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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.