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Finding the Third Proportional to 635,328 and 987,840

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Solution

The third proportional to 635,328 and 987,840 is: 1,535,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,328 : 987,840 = 987,840 : x
  2. Step 2: Convert to fraction form
    635,328/987,840 = 987,840/x
  3. Step 3: Cross multiply
    635,328x = 987,840 × 987,840
  4. Step 4: Simplify right side
    635,328x = 975,827,865,600
  5. Step 5: Solve for x
    x = 975,827,865,600/635,328
  6. Step 6: Final answer
    x = 1,535,943.43

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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.