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Finding the Third Proportional to 258,776 and 565,826

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Solution

The third proportional to 258,776 and 565,826 is: 1,237,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,776 : 565,826 = 565,826 : x
  2. Step 2: Convert to fraction form
    258,776/565,826 = 565,826/x
  3. Step 3: Cross multiply
    258,776x = 565,826 × 565,826
  4. Step 4: Simplify right side
    258,776x = 320,159,062,276
  5. Step 5: Solve for x
    x = 320,159,062,276/258,776
  6. Step 6: Final answer
    x = 1,237,205.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.