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Finding the Third Proportional to 423,620 and 908,664

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Solution

The third proportional to 423,620 and 908,664 is: 1,949,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,620 : 908,664 = 908,664 : x
  2. Step 2: Convert to fraction form
    423,620/908,664 = 908,664/x
  3. Step 3: Cross multiply
    423,620x = 908,664 × 908,664
  4. Step 4: Simplify right side
    423,620x = 825,670,264,896
  5. Step 5: Solve for x
    x = 825,670,264,896/423,620
  6. Step 6: Final answer
    x = 1,949,082.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.