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Finding the Third Proportional to 289,182.50 and 432,072.50

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Solution

The third proportional to 289,182.50 and 432,072.50 is: 645,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,182.50 : 432,072.50 = 432,072.50 : x
  2. Step 2: Convert to fraction form
    289,182.50/432,072.50 = 432,072.50/x
  3. Step 3: Cross multiply
    289,182.50x = 432,072.50 × 432,072.50
  4. Step 4: Simplify right side
    289,182.50x = 186,686,645,256.25
  5. Step 5: Solve for x
    x = 186,686,645,256.25/289,182.50
  6. Step 6: Final answer
    x = 645,566.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.