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Finding the Third Proportional to 395,407 and 612,773

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Solution

The third proportional to 395,407 and 612,773 is: 949,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,407 : 612,773 = 612,773 : x
  2. Step 2: Convert to fraction form
    395,407/612,773 = 612,773/x
  3. Step 3: Cross multiply
    395,407x = 612,773 × 612,773
  4. Step 4: Simplify right side
    395,407x = 375,490,749,529
  5. Step 5: Solve for x
    x = 375,490,749,529/395,407
  6. Step 6: Final answer
    x = 949,631.01

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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.