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Finding the Third Proportional to 258,976 and 563,528

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Solution

The third proportional to 258,976 and 563,528 is: 1,226,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,976 : 563,528 = 563,528 : x
  2. Step 2: Convert to fraction form
    258,976/563,528 = 563,528/x
  3. Step 3: Cross multiply
    258,976x = 563,528 × 563,528
  4. Step 4: Simplify right side
    258,976x = 317,563,806,784
  5. Step 5: Solve for x
    x = 317,563,806,784/258,976
  6. Step 6: Final answer
    x = 1,226,228.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.