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Finding the Third Proportional to 215,394 and 456,708

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Solution

The third proportional to 215,394 and 456,708 is: 968,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,394 : 456,708 = 456,708 : x
  2. Step 2: Convert to fraction form
    215,394/456,708 = 456,708/x
  3. Step 3: Cross multiply
    215,394x = 456,708 × 456,708
  4. Step 4: Simplify right side
    215,394x = 208,582,197,264
  5. Step 5: Solve for x
    x = 208,582,197,264/215,394
  6. Step 6: Final answer
    x = 968,375.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.