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Finding the Third Proportional to 258,303 and 557,382

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Solution

The third proportional to 258,303 and 557,382 is: 1,202,752.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,303 : 557,382 = 557,382 : x
  2. Step 2: Convert to fraction form
    258,303/557,382 = 557,382/x
  3. Step 3: Cross multiply
    258,303x = 557,382 × 557,382
  4. Step 4: Simplify right side
    258,303x = 310,674,693,924
  5. Step 5: Solve for x
    x = 310,674,693,924/258,303
  6. Step 6: Final answer
    x = 1,202,752.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.