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Finding the Third Proportional to 145,563.33 and 316,755.56

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Solution

The third proportional to 145,563.33 and 316,755.56 is: 689,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,563.33 : 316,755.56 = 316,755.56 : x
  2. Step 2: Convert to fraction form
    145,563.33/316,755.56 = 316,755.56/x
  3. Step 3: Cross multiply
    145,563.33x = 316,755.56 × 316,755.56
  4. Step 4: Simplify right side
    145,563.33x = 100,334,086,374.69
  5. Step 5: Solve for x
    x = 100,334,086,374.69/145,563.33
  6. Step 6: Final answer
    x = 689,281.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.