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Finding the Third Proportional to 520,215.75 and 1,118,009.25

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Solution

The third proportional to 520,215.75 and 1,118,009.25 is: 2,402,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,215.75 : 1,118,009.25 = 1,118,009.25 : x
  2. Step 2: Convert to fraction form
    520,215.75/1,118,009.25 = 1,118,009.25/x
  3. Step 3: Cross multiply
    520,215.75x = 1,118,009.25 × 1,118,009.25
  4. Step 4: Simplify right side
    520,215.75x = 1,249,944,683,085.56
  5. Step 5: Solve for x
    x = 1,249,944,683,085.56/520,215.75
  6. Step 6: Final answer
    x = 2,402,742.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.