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Finding the Third Proportional to 66,603.38 and 142,683.75

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Solution

The third proportional to 66,603.38 and 142,683.75 is: 305,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,603.38 : 142,683.75 = 142,683.75 : x
  2. Step 2: Convert to fraction form
    66,603.38/142,683.75 = 142,683.75/x
  3. Step 3: Cross multiply
    66,603.38x = 142,683.75 × 142,683.75
  4. Step 4: Simplify right side
    66,603.38x = 20,358,652,514.06
  5. Step 5: Solve for x
    x = 20,358,652,514.06/66,603.38
  6. Step 6: Final answer
    x = 305,669.98

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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.