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Finding the Third Proportional to 198,430 and 307,342

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Solution

The third proportional to 198,430 and 307,342 is: 476,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,430 : 307,342 = 307,342 : x
  2. Step 2: Convert to fraction form
    198,430/307,342 = 307,342/x
  3. Step 3: Cross multiply
    198,430x = 307,342 × 307,342
  4. Step 4: Simplify right side
    198,430x = 94,459,104,964
  5. Step 5: Solve for x
    x = 94,459,104,964/198,430
  6. Step 6: Final answer
    x = 476,032.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.