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Finding the Third Proportional to 434,480 and 908,686

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Solution

The third proportional to 434,480 and 908,686 is: 1,900,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,480 : 908,686 = 908,686 : x
  2. Step 2: Convert to fraction form
    434,480/908,686 = 908,686/x
  3. Step 3: Cross multiply
    434,480x = 908,686 × 908,686
  4. Step 4: Simplify right side
    434,480x = 825,710,246,596
  5. Step 5: Solve for x
    x = 825,710,246,596/434,480
  6. Step 6: Final answer
    x = 1,900,456.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.