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Finding the Third Proportional to 306,145.83 and 665,417.53

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Solution

The third proportional to 306,145.83 and 665,417.53 is: 1,446,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,145.83 : 665,417.53 = 665,417.53 : x
  2. Step 2: Convert to fraction form
    306,145.83/665,417.53 = 665,417.53/x
  3. Step 3: Cross multiply
    306,145.83x = 665,417.53 × 665,417.53
  4. Step 4: Simplify right side
    306,145.83x = 442,780,490,894.85
  5. Step 5: Solve for x
    x = 442,780,490,894.85/306,145.83
  6. Step 6: Final answer
    x = 1,446,305.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.