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Finding the Third Proportional to 427,040 and 988,480

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Solution

The third proportional to 427,040 and 988,480 is: 2,288,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,040 : 988,480 = 988,480 : x
  2. Step 2: Convert to fraction form
    427,040/988,480 = 988,480/x
  3. Step 3: Cross multiply
    427,040x = 988,480 × 988,480
  4. Step 4: Simplify right side
    427,040x = 977,092,710,400
  5. Step 5: Solve for x
    x = 977,092,710,400/427,040
  6. Step 6: Final answer
    x = 2,288,058.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.