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Finding the Third Proportional to 424,452 and 915,216

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Solution

The third proportional to 424,452 and 915,216 is: 1,973,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,452 : 915,216 = 915,216 : x
  2. Step 2: Convert to fraction form
    424,452/915,216 = 915,216/x
  3. Step 3: Cross multiply
    424,452x = 915,216 × 915,216
  4. Step 4: Simplify right side
    424,452x = 837,620,326,656
  5. Step 5: Solve for x
    x = 837,620,326,656/424,452
  6. Step 6: Final answer
    x = 1,973,415.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.