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Finding the Third Proportional to 270,468 and 578,459.25

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Solution

The third proportional to 270,468 and 578,459.25 is: 1,237,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,468 : 578,459.25 = 578,459.25 : x
  2. Step 2: Convert to fraction form
    270,468/578,459.25 = 578,459.25/x
  3. Step 3: Cross multiply
    270,468x = 578,459.25 × 578,459.25
  4. Step 4: Simplify right side
    270,468x = 334,615,103,910.56
  5. Step 5: Solve for x
    x = 334,615,103,910.56/270,468
  6. Step 6: Final answer
    x = 1,237,170.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.