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Finding the Third Proportional to 403,418 and 624,633

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Solution

The third proportional to 403,418 and 624,633 is: 967,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,418 : 624,633 = 624,633 : x
  2. Step 2: Convert to fraction form
    403,418/624,633 = 624,633/x
  3. Step 3: Cross multiply
    403,418x = 624,633 × 624,633
  4. Step 4: Simplify right side
    403,418x = 390,166,384,689
  5. Step 5: Solve for x
    x = 390,166,384,689/403,418
  6. Step 6: Final answer
    x = 967,151.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.