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Finding the Third Proportional to 199,475 and 403,445

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Solution

The third proportional to 199,475 and 403,445 is: 815,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,475 : 403,445 = 403,445 : x
  2. Step 2: Convert to fraction form
    199,475/403,445 = 403,445/x
  3. Step 3: Cross multiply
    199,475x = 403,445 × 403,445
  4. Step 4: Simplify right side
    199,475x = 162,767,868,025
  5. Step 5: Solve for x
    x = 162,767,868,025/199,475
  6. Step 6: Final answer
    x = 815,981.29

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.