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Finding the Third Proportional to 258,306 and 557,386

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Solution

The third proportional to 258,306 and 557,386 is: 1,202,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,306 : 557,386 = 557,386 : x
  2. Step 2: Convert to fraction form
    258,306/557,386 = 557,386/x
  3. Step 3: Cross multiply
    258,306x = 557,386 × 557,386
  4. Step 4: Simplify right side
    258,306x = 310,679,152,996
  5. Step 5: Solve for x
    x = 310,679,152,996/258,306
  6. Step 6: Final answer
    x = 1,202,756.24

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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.