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Finding the Third Proportional to 576,513 and 842,553

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Solution

The third proportional to 576,513 and 842,553 is: 1,231,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,513 : 842,553 = 842,553 : x
  2. Step 2: Convert to fraction form
    576,513/842,553 = 842,553/x
  3. Step 3: Cross multiply
    576,513x = 842,553 × 842,553
  4. Step 4: Simplify right side
    576,513x = 709,895,557,809
  5. Step 5: Solve for x
    x = 709,895,557,809/576,513
  6. Step 6: Final answer
    x = 1,231,360.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.