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Finding the Third Proportional to 634,042.50 and 1,290,228

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Solution

The third proportional to 634,042.50 and 1,290,228 is: 2,625,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,042.50 : 1,290,228 = 1,290,228 : x
  2. Step 2: Convert to fraction form
    634,042.50/1,290,228 = 1,290,228/x
  3. Step 3: Cross multiply
    634,042.50x = 1,290,228 × 1,290,228
  4. Step 4: Simplify right side
    634,042.50x = 1,664,688,291,984
  5. Step 5: Solve for x
    x = 1,664,688,291,984/634,042.50
  6. Step 6: Final answer
    x = 2,625,515.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.