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Finding the Third Proportional to 97,209 and 139,009

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Solution

The third proportional to 97,209 and 139,009 is: 198,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,209 : 139,009 = 139,009 : x
  2. Step 2: Convert to fraction form
    97,209/139,009 = 139,009/x
  3. Step 3: Cross multiply
    97,209x = 139,009 × 139,009
  4. Step 4: Simplify right side
    97,209x = 19,323,502,081
  5. Step 5: Solve for x
    x = 19,323,502,081/97,209
  6. Step 6: Final answer
    x = 198,783.06

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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.