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Finding the Third Proportional to 285,752 and 620,716

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Solution

The third proportional to 285,752 and 620,716 is: 1,348,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,752 : 620,716 = 620,716 : x
  2. Step 2: Convert to fraction form
    285,752/620,716 = 620,716/x
  3. Step 3: Cross multiply
    285,752x = 620,716 × 620,716
  4. Step 4: Simplify right side
    285,752x = 385,288,352,656
  5. Step 5: Solve for x
    x = 385,288,352,656/285,752
  6. Step 6: Final answer
    x = 1,348,331.25

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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.