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Finding the Third Proportional to 280,069.31 and 437,599.13

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Solution

The third proportional to 280,069.31 and 437,599.13 is: 683,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,069.31 : 437,599.13 = 437,599.13 : x
  2. Step 2: Convert to fraction form
    280,069.31/437,599.13 = 437,599.13/x
  3. Step 3: Cross multiply
    280,069.31x = 437,599.13 × 437,599.13
  4. Step 4: Simplify right side
    280,069.31x = 191,492,994,200.77
  5. Step 5: Solve for x
    x = 191,492,994,200.77/280,069.31
  6. Step 6: Final answer
    x = 683,734.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.