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Finding the Third Proportional to 515,628 and 1,107,423

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Solution

The third proportional to 515,628 and 1,107,423 is: 2,378,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,628 : 1,107,423 = 1,107,423 : x
  2. Step 2: Convert to fraction form
    515,628/1,107,423 = 1,107,423/x
  3. Step 3: Cross multiply
    515,628x = 1,107,423 × 1,107,423
  4. Step 4: Simplify right side
    515,628x = 1,226,385,700,929
  5. Step 5: Solve for x
    x = 1,226,385,700,929/515,628
  6. Step 6: Final answer
    x = 2,378,431.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.