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Finding the Third Proportional to 452,740 and 612,678

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Solution

The third proportional to 452,740 and 612,678 is: 829,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,740 : 612,678 = 612,678 : x
  2. Step 2: Convert to fraction form
    452,740/612,678 = 612,678/x
  3. Step 3: Cross multiply
    452,740x = 612,678 × 612,678
  4. Step 4: Simplify right side
    452,740x = 375,374,331,684
  5. Step 5: Solve for x
    x = 375,374,331,684/452,740
  6. Step 6: Final answer
    x = 829,116.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.