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Finding the Third Proportional to 505,291.50 and 803,577.38

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Solution

The third proportional to 505,291.50 and 803,577.38 is: 1,277,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,291.50 : 803,577.38 = 803,577.38 : x
  2. Step 2: Convert to fraction form
    505,291.50/803,577.38 = 803,577.38/x
  3. Step 3: Cross multiply
    505,291.50x = 803,577.38 × 803,577.38
  4. Step 4: Simplify right side
    505,291.50x = 645,736,597,611.89
  5. Step 5: Solve for x
    x = 645,736,597,611.89/505,291.50
  6. Step 6: Final answer
    x = 1,277,948.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.