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Finding the Third Proportional to 395,915.34 and 864,428.84

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Solution

The third proportional to 395,915.34 and 864,428.84 is: 1,887,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,915.34 : 864,428.84 = 864,428.84 : x
  2. Step 2: Convert to fraction form
    395,915.34/864,428.84 = 864,428.84/x
  3. Step 3: Cross multiply
    395,915.34x = 864,428.84 × 864,428.84
  4. Step 4: Simplify right side
    395,915.34x = 747,237,212,400.26
  5. Step 5: Solve for x
    x = 747,237,212,400.26/395,915.34
  6. Step 6: Final answer
    x = 1,887,366.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.