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Finding the Third Proportional to 403,432 and 624,648

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Solution

The third proportional to 403,432 and 624,648 is: 967,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,432 : 624,648 = 624,648 : x
  2. Step 2: Convert to fraction form
    403,432/624,648 = 624,648/x
  3. Step 3: Cross multiply
    403,432x = 624,648 × 624,648
  4. Step 4: Simplify right side
    403,432x = 390,185,123,904
  5. Step 5: Solve for x
    x = 390,185,123,904/403,432
  6. Step 6: Final answer
    x = 967,164.54

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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.