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Finding the Third Proportional to 289,919 and 433,528

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Solution

The third proportional to 289,919 and 433,528 is: 648,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,919 : 433,528 = 433,528 : x
  2. Step 2: Convert to fraction form
    289,919/433,528 = 433,528/x
  3. Step 3: Cross multiply
    289,919x = 433,528 × 433,528
  4. Step 4: Simplify right side
    289,919x = 187,946,526,784
  5. Step 5: Solve for x
    x = 187,946,526,784/289,919
  6. Step 6: Final answer
    x = 648,272.54

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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.