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Finding the Third Proportional to 92,369 and 199,507

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Solution

The third proportional to 92,369 and 199,507 is: 430,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,369 : 199,507 = 199,507 : x
  2. Step 2: Convert to fraction form
    92,369/199,507 = 199,507/x
  3. Step 3: Cross multiply
    92,369x = 199,507 × 199,507
  4. Step 4: Simplify right side
    92,369x = 39,803,043,049
  5. Step 5: Solve for x
    x = 39,803,043,049/92,369
  6. Step 6: Final answer
    x = 430,913.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.