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Finding the Third Proportional to 255,619.13 and 553,548.38

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Solution

The third proportional to 255,619.13 and 553,548.38 is: 1,198,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,619.13 : 553,548.38 = 553,548.38 : x
  2. Step 2: Convert to fraction form
    255,619.13/553,548.38 = 553,548.38/x
  3. Step 3: Cross multiply
    255,619.13x = 553,548.38 × 553,548.38
  4. Step 4: Simplify right side
    255,619.13x = 306,415,803,465.14
  5. Step 5: Solve for x
    x = 306,415,803,465.14/255,619.13
  6. Step 6: Final answer
    x = 1,198,720.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.