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Finding the Third Proportional to 145,273.50 and 314,673.75

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Solution

The third proportional to 145,273.50 and 314,673.75 is: 681,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,273.50 : 314,673.75 = 314,673.75 : x
  2. Step 2: Convert to fraction form
    145,273.50/314,673.75 = 314,673.75/x
  3. Step 3: Cross multiply
    145,273.50x = 314,673.75 × 314,673.75
  4. Step 4: Simplify right side
    145,273.50x = 99,019,568,939.06
  5. Step 5: Solve for x
    x = 99,019,568,939.06/145,273.50
  6. Step 6: Final answer
    x = 681,607.93

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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.