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Finding the Third Proportional to 351,808.50 and 686,116.50

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Solution

The third proportional to 351,808.50 and 686,116.50 is: 1,338,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,808.50 : 686,116.50 = 686,116.50 : x
  2. Step 2: Convert to fraction form
    351,808.50/686,116.50 = 686,116.50/x
  3. Step 3: Cross multiply
    351,808.50x = 686,116.50 × 686,116.50
  4. Step 4: Simplify right side
    351,808.50x = 470,755,851,572.25
  5. Step 5: Solve for x
    x = 470,755,851,572.25/351,808.50
  6. Step 6: Final answer
    x = 1,338,102.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.