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Finding the Third Proportional to 245,486.63 and 380,998.13

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Solution

The third proportional to 245,486.63 and 380,998.13 is: 591,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,486.63 : 380,998.13 = 380,998.13 : x
  2. Step 2: Convert to fraction form
    245,486.63/380,998.13 = 380,998.13/x
  3. Step 3: Cross multiply
    245,486.63x = 380,998.13 × 380,998.13
  4. Step 4: Simplify right side
    245,486.63x = 145,159,571,253.52
  5. Step 5: Solve for x
    x = 145,159,571,253.52/245,486.63
  6. Step 6: Final answer
    x = 591,313.56

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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.