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Finding the Third Proportional to 309,263.81 and 478,860.56

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Solution

The third proportional to 309,263.81 and 478,860.56 is: 741,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,263.81 : 478,860.56 = 478,860.56 : x
  2. Step 2: Convert to fraction form
    309,263.81/478,860.56 = 478,860.56/x
  3. Step 3: Cross multiply
    309,263.81x = 478,860.56 × 478,860.56
  4. Step 4: Simplify right side
    309,263.81x = 229,307,438,317.82
  5. Step 5: Solve for x
    x = 229,307,438,317.82/309,263.81
  6. Step 6: Final answer
    x = 741,462.24

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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.