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Finding the Third Proportional to 148,939 and 208,342

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Solution

The third proportional to 148,939 and 208,342 is: 291,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,939 : 208,342 = 208,342 : x
  2. Step 2: Convert to fraction form
    148,939/208,342 = 208,342/x
  3. Step 3: Cross multiply
    148,939x = 208,342 × 208,342
  4. Step 4: Simplify right side
    148,939x = 43,406,388,964
  5. Step 5: Solve for x
    x = 43,406,388,964/148,939
  6. Step 6: Final answer
    x = 291,437.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.