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Finding the Third Proportional to 308,490 and 466,620

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Solution

The third proportional to 308,490 and 466,620 is: 705,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,490 : 466,620 = 466,620 : x
  2. Step 2: Convert to fraction form
    308,490/466,620 = 466,620/x
  3. Step 3: Cross multiply
    308,490x = 466,620 × 466,620
  4. Step 4: Simplify right side
    308,490x = 217,734,224,400
  5. Step 5: Solve for x
    x = 217,734,224,400/308,490
  6. Step 6: Final answer
    x = 705,806.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.