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Finding the Third Proportional to 153,456 and 326,784

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Solution

The third proportional to 153,456 and 326,784 is: 695,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,456 : 326,784 = 326,784 : x
  2. Step 2: Convert to fraction form
    153,456/326,784 = 326,784/x
  3. Step 3: Cross multiply
    153,456x = 326,784 × 326,784
  4. Step 4: Simplify right side
    153,456x = 106,787,782,656
  5. Step 5: Solve for x
    x = 106,787,782,656/153,456
  6. Step 6: Final answer
    x = 695,885.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.