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Finding the Third Proportional to 315,748.13 and 428,652

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Solution

The third proportional to 315,748.13 and 428,652 is: 581,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,748.13 : 428,652 = 428,652 : x
  2. Step 2: Convert to fraction form
    315,748.13/428,652 = 428,652/x
  3. Step 3: Cross multiply
    315,748.13x = 428,652 × 428,652
  4. Step 4: Simplify right side
    315,748.13x = 183,742,537,104
  5. Step 5: Solve for x
    x = 183,742,537,104/315,748.13
  6. Step 6: Final answer
    x = 581,927.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.