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Finding the Third Proportional to 423 and 618.63

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Solution

The third proportional to 423 and 618.63 is: 904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 618.63 = 618.63 : x
  2. Step 2: Convert to fraction form
    423/618.63 = 618.63/x
  3. Step 3: Cross multiply
    423x = 618.63 × 618.63
  4. Step 4: Simplify right side
    423x = 382,696.89
  5. Step 5: Solve for x
    x = 382,696.89/423
  6. Step 6: Final answer
    x = 904.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.