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Finding the Third Proportional to 201,213 and 321,502

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Solution

The third proportional to 201,213 and 321,502 is: 513,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213 : 321,502 = 321,502 : x
  2. Step 2: Convert to fraction form
    201,213/321,502 = 321,502/x
  3. Step 3: Cross multiply
    201,213x = 321,502 × 321,502
  4. Step 4: Simplify right side
    201,213x = 103,363,536,004
  5. Step 5: Solve for x
    x = 103,363,536,004/201,213
  6. Step 6: Final answer
    x = 513,702.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.