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Finding the Third Proportional to 461,322 and 620,730

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Solution

The third proportional to 461,322 and 620,730 is: 835,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,322 : 620,730 = 620,730 : x
  2. Step 2: Convert to fraction form
    461,322/620,730 = 620,730/x
  3. Step 3: Cross multiply
    461,322x = 620,730 × 620,730
  4. Step 4: Simplify right side
    461,322x = 385,305,732,900
  5. Step 5: Solve for x
    x = 385,305,732,900/461,322
  6. Step 6: Final answer
    x = 835,220.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.