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Finding the Third Proportional to 395,507 and 612,921

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Solution

The third proportional to 395,507 and 612,921 is: 949,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,507 : 612,921 = 612,921 : x
  2. Step 2: Convert to fraction form
    395,507/612,921 = 612,921/x
  3. Step 3: Cross multiply
    395,507x = 612,921 × 612,921
  4. Step 4: Simplify right side
    395,507x = 375,672,152,241
  5. Step 5: Solve for x
    x = 375,672,152,241/395,507
  6. Step 6: Final answer
    x = 949,849.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.