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Finding the Third Proportional to 201,510 and 314,521

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Solution

The third proportional to 201,510 and 314,521 is: 490,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,510 : 314,521 = 314,521 : x
  2. Step 2: Convert to fraction form
    201,510/314,521 = 314,521/x
  3. Step 3: Cross multiply
    201,510x = 314,521 × 314,521
  4. Step 4: Simplify right side
    201,510x = 98,923,459,441
  5. Step 5: Solve for x
    x = 98,923,459,441/201,510
  6. Step 6: Final answer
    x = 490,910.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.