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Finding the Third Proportional to 252,520 and 557,528

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Solution

The third proportional to 252,520 and 557,528 is: 1,230,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,520 : 557,528 = 557,528 : x
  2. Step 2: Convert to fraction form
    252,520/557,528 = 557,528/x
  3. Step 3: Cross multiply
    252,520x = 557,528 × 557,528
  4. Step 4: Simplify right side
    252,520x = 310,837,470,784
  5. Step 5: Solve for x
    x = 310,837,470,784/252,520
  6. Step 6: Final answer
    x = 1,230,941.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.