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Finding the Third Proportional to 687,961.50 and 1,618,731.38

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Solution

The third proportional to 687,961.50 and 1,618,731.38 is: 3,808,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,961.50 : 1,618,731.38 = 1,618,731.38 : x
  2. Step 2: Convert to fraction form
    687,961.50/1,618,731.38 = 1,618,731.38/x
  3. Step 3: Cross multiply
    687,961.50x = 1,618,731.38 × 1,618,731.38
  4. Step 4: Simplify right side
    687,961.50x = 2,620,291,264,409.39
  5. Step 5: Solve for x
    x = 2,620,291,264,409.39/687,961.50
  6. Step 6: Final answer
    x = 3,808,776.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.