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Finding the Third Proportional to 509,520 and 765,564

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Solution

The third proportional to 509,520 and 765,564 is: 1,150,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,520 : 765,564 = 765,564 : x
  2. Step 2: Convert to fraction form
    509,520/765,564 = 765,564/x
  3. Step 3: Cross multiply
    509,520x = 765,564 × 765,564
  4. Step 4: Simplify right side
    509,520x = 586,088,238,096
  5. Step 5: Solve for x
    x = 586,088,238,096/509,520
  6. Step 6: Final answer
    x = 1,150,275.24

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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.