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Finding the Third Proportional to 415,803.38 and 860,128.88

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Solution

The third proportional to 415,803.38 and 860,128.88 is: 1,779,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803.38 : 860,128.88 = 860,128.88 : x
  2. Step 2: Convert to fraction form
    415,803.38/860,128.88 = 860,128.88/x
  3. Step 3: Cross multiply
    415,803.38x = 860,128.88 × 860,128.88
  4. Step 4: Simplify right side
    415,803.38x = 739,821,681,608.77
  5. Step 5: Solve for x
    x = 739,821,681,608.77/415,803.38
  6. Step 6: Final answer
    x = 1,779,258.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.