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Finding the Third Proportional to 97,824 and 139,920

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Solution

The third proportional to 97,824 and 139,920 is: 200,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,824 : 139,920 = 139,920 : x
  2. Step 2: Convert to fraction form
    97,824/139,920 = 139,920/x
  3. Step 3: Cross multiply
    97,824x = 139,920 × 139,920
  4. Step 4: Simplify right side
    97,824x = 19,577,606,400
  5. Step 5: Solve for x
    x = 19,577,606,400/97,824
  6. Step 6: Final answer
    x = 200,130.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.