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Finding the Third Proportional to 403,648 and 624,576

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Solution

The third proportional to 403,648 and 624,576 is: 966,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,648 : 624,576 = 624,576 : x
  2. Step 2: Convert to fraction form
    403,648/624,576 = 624,576/x
  3. Step 3: Cross multiply
    403,648x = 624,576 × 624,576
  4. Step 4: Simplify right side
    403,648x = 390,095,179,776
  5. Step 5: Solve for x
    x = 390,095,179,776/403,648
  6. Step 6: Final answer
    x = 966,424.16

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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.