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Finding the Third Proportional to 255,636 and 557,411.63

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Solution

The third proportional to 255,636 and 557,411.63 is: 1,215,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,636 : 557,411.63 = 557,411.63 : x
  2. Step 2: Convert to fraction form
    255,636/557,411.63 = 557,411.63/x
  3. Step 3: Cross multiply
    255,636x = 557,411.63 × 557,411.63
  4. Step 4: Simplify right side
    255,636x = 310,707,719,685.14
  5. Step 5: Solve for x
    x = 310,707,719,685.14/255,636
  6. Step 6: Final answer
    x = 1,215,430.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.