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Finding the Third Proportional to 406,478.53 and 875,388.94

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Solution

The third proportional to 406,478.53 and 875,388.94 is: 1,885,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,478.53 : 875,388.94 = 875,388.94 : x
  2. Step 2: Convert to fraction form
    406,478.53/875,388.94 = 875,388.94/x
  3. Step 3: Cross multiply
    406,478.53x = 875,388.94 × 875,388.94
  4. Step 4: Simplify right side
    406,478.53x = 766,305,791,897.38
  5. Step 5: Solve for x
    x = 766,305,791,897.38/406,478.53
  6. Step 6: Final answer
    x = 1,885,230.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.