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Finding the Third Proportional to 298,056.38 and 643,649.63

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Solution

The third proportional to 298,056.38 and 643,649.63 is: 1,389,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,056.38 : 643,649.63 = 643,649.63 : x
  2. Step 2: Convert to fraction form
    298,056.38/643,649.63 = 643,649.63/x
  3. Step 3: Cross multiply
    298,056.38x = 643,649.63 × 643,649.63
  4. Step 4: Simplify right side
    298,056.38x = 414,284,839,762.64
  5. Step 5: Solve for x
    x = 414,284,839,762.64/298,056.38
  6. Step 6: Final answer
    x = 1,389,954.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.