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Finding the Third Proportional to 512,310 and 1,113,216

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Solution

The third proportional to 512,310 and 1,113,216 is: 2,418,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,310 : 1,113,216 = 1,113,216 : x
  2. Step 2: Convert to fraction form
    512,310/1,113,216 = 1,113,216/x
  3. Step 3: Cross multiply
    512,310x = 1,113,216 × 1,113,216
  4. Step 4: Simplify right side
    512,310x = 1,239,249,862,656
  5. Step 5: Solve for x
    x = 1,239,249,862,656/512,310
  6. Step 6: Final answer
    x = 2,418,945.29

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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.