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Finding the Third Proportional to 201,780 and 316,566

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Solution

The third proportional to 201,780 and 316,566 is: 496,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,780 : 316,566 = 316,566 : x
  2. Step 2: Convert to fraction form
    201,780/316,566 = 316,566/x
  3. Step 3: Cross multiply
    201,780x = 316,566 × 316,566
  4. Step 4: Simplify right side
    201,780x = 100,214,032,356
  5. Step 5: Solve for x
    x = 100,214,032,356/201,780
  6. Step 6: Final answer
    x = 496,649.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.