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Finding the Third Proportional to 434,463.75 and 908,627.63

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Solution

The third proportional to 434,463.75 and 908,627.63 is: 1,900,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,463.75 : 908,627.63 = 908,627.63 : x
  2. Step 2: Convert to fraction form
    434,463.75/908,627.63 = 908,627.63/x
  3. Step 3: Cross multiply
    434,463.75x = 908,627.63 × 908,627.63
  4. Step 4: Simplify right side
    434,463.75x = 825,604,160,913.14
  5. Step 5: Solve for x
    x = 825,604,160,913.14/434,463.75
  6. Step 6: Final answer
    x = 1,900,283.19

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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.