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Finding the Third Proportional to 235,920 and 513,312

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Solution

The third proportional to 235,920 and 513,312 is: 1,116,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,920 : 513,312 = 513,312 : x
  2. Step 2: Convert to fraction form
    235,920/513,312 = 513,312/x
  3. Step 3: Cross multiply
    235,920x = 513,312 × 513,312
  4. Step 4: Simplify right side
    235,920x = 263,489,209,344
  5. Step 5: Solve for x
    x = 263,489,209,344/235,920
  6. Step 6: Final answer
    x = 1,116,858.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.