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Finding the Third Proportional to 289,280.58 and 432,873.18

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Solution

The third proportional to 289,280.58 and 432,873.18 is: 647,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,280.58 : 432,873.18 = 432,873.18 : x
  2. Step 2: Convert to fraction form
    289,280.58/432,873.18 = 432,873.18/x
  3. Step 3: Cross multiply
    289,280.58x = 432,873.18 × 432,873.18
  4. Step 4: Simplify right side
    289,280.58x = 187,379,186,310.95
  5. Step 5: Solve for x
    x = 187,379,186,310.95/289,280.58
  6. Step 6: Final answer
    x = 647,742.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.