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Finding the Third Proportional to 452,740.50 and 634,556.25

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Solution

The third proportional to 452,740.50 and 634,556.25 is: 889,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,740.50 : 634,556.25 = 634,556.25 : x
  2. Step 2: Convert to fraction form
    452,740.50/634,556.25 = 634,556.25/x
  3. Step 3: Cross multiply
    452,740.50x = 634,556.25 × 634,556.25
  4. Step 4: Simplify right side
    452,740.50x = 402,661,634,414.06
  5. Step 5: Solve for x
    x = 402,661,634,414.06/452,740.50
  6. Step 6: Final answer
    x = 889,387.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.