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Finding the Third Proportional to 314,611.50 and 681,711

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Solution

The third proportional to 314,611.50 and 681,711 is: 1,477,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,611.50 : 681,711 = 681,711 : x
  2. Step 2: Convert to fraction form
    314,611.50/681,711 = 681,711/x
  3. Step 3: Cross multiply
    314,611.50x = 681,711 × 681,711
  4. Step 4: Simplify right side
    314,611.50x = 464,729,887,521
  5. Step 5: Solve for x
    x = 464,729,887,521/314,611.50
  6. Step 6: Final answer
    x = 1,477,154.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.