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Finding the Third Proportional to 145,648.13 and 311,546.25

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Solution

The third proportional to 145,648.13 and 311,546.25 is: 666,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,648.13 : 311,546.25 = 311,546.25 : x
  2. Step 2: Convert to fraction form
    145,648.13/311,546.25 = 311,546.25/x
  3. Step 3: Cross multiply
    145,648.13x = 311,546.25 × 311,546.25
  4. Step 4: Simplify right side
    145,648.13x = 97,061,065,889.06
  5. Step 5: Solve for x
    x = 97,061,065,889.06/145,648.13
  6. Step 6: Final answer
    x = 666,407.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.