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Finding the Third Proportional to 451,180 and 634,798.50

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Solution

The third proportional to 451,180 and 634,798.50 is: 893,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,180 : 634,798.50 = 634,798.50 : x
  2. Step 2: Convert to fraction form
    451,180/634,798.50 = 634,798.50/x
  3. Step 3: Cross multiply
    451,180x = 634,798.50 × 634,798.50
  4. Step 4: Simplify right side
    451,180x = 402,969,135,602.25
  5. Step 5: Solve for x
    x = 402,969,135,602.25/451,180
  6. Step 6: Final answer
    x = 893,144.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.