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Finding the Third Proportional to 201,718 and 312,332

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Solution

The third proportional to 201,718 and 312,332 is: 483,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718 : 312,332 = 312,332 : x
  2. Step 2: Convert to fraction form
    201,718/312,332 = 312,332/x
  3. Step 3: Cross multiply
    201,718x = 312,332 × 312,332
  4. Step 4: Simplify right side
    201,718x = 97,551,278,224
  5. Step 5: Solve for x
    x = 97,551,278,224/201,718
  6. Step 6: Final answer
    x = 483,602.25

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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.