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Finding the Third Proportional to 132,438.38 and 290,070.28

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Solution

The third proportional to 132,438.38 and 290,070.28 is: 635,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438.38 : 290,070.28 = 290,070.28 : x
  2. Step 2: Convert to fraction form
    132,438.38/290,070.28 = 290,070.28/x
  3. Step 3: Cross multiply
    132,438.38x = 290,070.28 × 290,070.28
  4. Step 4: Simplify right side
    132,438.38x = 84,140,768,064.45
  5. Step 5: Solve for x
    x = 84,140,768,064.45/132,438.38
  6. Step 6: Final answer
    x = 635,320.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.