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Finding the Third Proportional to 265,378.78 and 579,965.06

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Solution

The third proportional to 265,378.78 and 579,965.06 is: 1,267,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,378.78 : 579,965.06 = 579,965.06 : x
  2. Step 2: Convert to fraction form
    265,378.78/579,965.06 = 579,965.06/x
  3. Step 3: Cross multiply
    265,378.78x = 579,965.06 × 579,965.06
  4. Step 4: Simplify right side
    265,378.78x = 336,359,473,720.63
  5. Step 5: Solve for x
    x = 336,359,473,720.63/265,378.78
  6. Step 6: Final answer
    x = 1,267,469.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.