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Finding the Third Proportional to 301,403 and 410,459

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Solution

The third proportional to 301,403 and 410,459 is: 558,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,403 : 410,459 = 410,459 : x
  2. Step 2: Convert to fraction form
    301,403/410,459 = 410,459/x
  3. Step 3: Cross multiply
    301,403x = 410,459 × 410,459
  4. Step 4: Simplify right side
    301,403x = 168,476,590,681
  5. Step 5: Solve for x
    x = 168,476,590,681/301,403
  6. Step 6: Final answer
    x = 558,974.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.