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Finding the Third Proportional to 139,088 and 208,537

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Solution

The third proportional to 139,088 and 208,537 is: 312,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,088 : 208,537 = 208,537 : x
  2. Step 2: Convert to fraction form
    139,088/208,537 = 208,537/x
  3. Step 3: Cross multiply
    139,088x = 208,537 × 208,537
  4. Step 4: Simplify right side
    139,088x = 43,487,680,369
  5. Step 5: Solve for x
    x = 43,487,680,369/139,088
  6. Step 6: Final answer
    x = 312,663.06

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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.