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Finding the Third Proportional to 201,064 and 312,620

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Solution

The third proportional to 201,064 and 312,620 is: 486,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064 : 312,620 = 312,620 : x
  2. Step 2: Convert to fraction form
    201,064/312,620 = 312,620/x
  3. Step 3: Cross multiply
    201,064x = 312,620 × 312,620
  4. Step 4: Simplify right side
    201,064x = 97,731,264,400
  5. Step 5: Solve for x
    x = 97,731,264,400/201,064
  6. Step 6: Final answer
    x = 486,070.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.