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Finding the Third Proportional to 406,881.42 and 869,815.97

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Solution

The third proportional to 406,881.42 and 869,815.97 is: 1,859,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,881.42 : 869,815.97 = 869,815.97 : x
  2. Step 2: Convert to fraction form
    406,881.42/869,815.97 = 869,815.97/x
  3. Step 3: Cross multiply
    406,881.42x = 869,815.97 × 869,815.97
  4. Step 4: Simplify right side
    406,881.42x = 756,579,819,492.50
  5. Step 5: Solve for x
    x = 756,579,819,492.50/406,881.42
  6. Step 6: Final answer
    x = 1,859,460.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.