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Finding the Third Proportional to 621,056.50 and 1,330,646

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Solution

The third proportional to 621,056.50 and 1,330,646 is: 2,850,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,056.50 : 1,330,646 = 1,330,646 : x
  2. Step 2: Convert to fraction form
    621,056.50/1,330,646 = 1,330,646/x
  3. Step 3: Cross multiply
    621,056.50x = 1,330,646 × 1,330,646
  4. Step 4: Simplify right side
    621,056.50x = 1,770,618,777,316
  5. Step 5: Solve for x
    x = 1,770,618,777,316/621,056.50
  6. Step 6: Final answer
    x = 2,850,978.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.