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Finding the Third Proportional to 415,044 and 624,240

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Solution

The third proportional to 415,044 and 624,240 is: 938,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,044 : 624,240 = 624,240 : x
  2. Step 2: Convert to fraction form
    415,044/624,240 = 624,240/x
  3. Step 3: Cross multiply
    415,044x = 624,240 × 624,240
  4. Step 4: Simplify right side
    415,044x = 389,675,577,600
  5. Step 5: Solve for x
    x = 389,675,577,600/415,044
  6. Step 6: Final answer
    x = 938,877.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.