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Finding the Third Proportional to 283,942.65 and 621,347.20

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Solution

The third proportional to 283,942.65 and 621,347.20 is: 1,359,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,942.65 : 621,347.20 = 621,347.20 : x
  2. Step 2: Convert to fraction form
    283,942.65/621,347.20 = 621,347.20/x
  3. Step 3: Cross multiply
    283,942.65x = 621,347.20 × 621,347.20
  4. Step 4: Simplify right side
    283,942.65x = 386,072,346,831.26
  5. Step 5: Solve for x
    x = 386,072,346,831.26/283,942.65
  6. Step 6: Final answer
    x = 1,359,684.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.