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Finding the Third Proportional to 69,386.63 and 148,611.38

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Solution

The third proportional to 69,386.63 and 148,611.38 is: 318,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,386.63 : 148,611.38 = 148,611.38 : x
  2. Step 2: Convert to fraction form
    69,386.63/148,611.38 = 148,611.38/x
  3. Step 3: Cross multiply
    69,386.63x = 148,611.38 × 148,611.38
  4. Step 4: Simplify right side
    69,386.63x = 22,085,340,779.39
  5. Step 5: Solve for x
    x = 22,085,340,779.39/69,386.63
  6. Step 6: Final answer
    x = 318,293.92

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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.