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Finding the Third Proportional to 434,286 and 658,810

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Solution

The third proportional to 434,286 and 658,810 is: 999,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,286 : 658,810 = 658,810 : x
  2. Step 2: Convert to fraction form
    434,286/658,810 = 658,810/x
  3. Step 3: Cross multiply
    434,286x = 658,810 × 658,810
  4. Step 4: Simplify right side
    434,286x = 434,030,616,100
  5. Step 5: Solve for x
    x = 434,030,616,100/434,286
  6. Step 6: Final answer
    x = 999,411.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.