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Finding the Third Proportional to 300,459 and 401,335

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Solution

The third proportional to 300,459 and 401,335 is: 536,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,459 : 401,335 = 401,335 : x
  2. Step 2: Convert to fraction form
    300,459/401,335 = 401,335/x
  3. Step 3: Cross multiply
    300,459x = 401,335 × 401,335
  4. Step 4: Simplify right side
    300,459x = 161,069,782,225
  5. Step 5: Solve for x
    x = 161,069,782,225/300,459
  6. Step 6: Final answer
    x = 536,079.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.