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Finding the Third Proportional to 245,603 and 369,317

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Solution

The third proportional to 245,603 and 369,317 is: 555,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,603 : 369,317 = 369,317 : x
  2. Step 2: Convert to fraction form
    245,603/369,317 = 369,317/x
  3. Step 3: Cross multiply
    245,603x = 369,317 × 369,317
  4. Step 4: Simplify right side
    245,603x = 136,395,046,489
  5. Step 5: Solve for x
    x = 136,395,046,489/245,603
  6. Step 6: Final answer
    x = 555,347.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.