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Finding the Third Proportional to 201,946 and 316,820

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Solution

The third proportional to 201,946 and 316,820 is: 497,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,946 : 316,820 = 316,820 : x
  2. Step 2: Convert to fraction form
    201,946/316,820 = 316,820/x
  3. Step 3: Cross multiply
    201,946x = 316,820 × 316,820
  4. Step 4: Simplify right side
    201,946x = 100,374,912,400
  5. Step 5: Solve for x
    x = 100,374,912,400/201,946
  6. Step 6: Final answer
    x = 497,038.38

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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.