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Finding the Third Proportional to 407,146.50 and 535,396.50

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Solution

The third proportional to 407,146.50 and 535,396.50 is: 704,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,146.50 : 535,396.50 = 535,396.50 : x
  2. Step 2: Convert to fraction form
    407,146.50/535,396.50 = 535,396.50/x
  3. Step 3: Cross multiply
    407,146.50x = 535,396.50 × 535,396.50
  4. Step 4: Simplify right side
    407,146.50x = 286,649,412,212.25
  5. Step 5: Solve for x
    x = 286,649,412,212.25/407,146.50
  6. Step 6: Final answer
    x = 704,044.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.