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Finding the Third Proportional to 342,126.75 and 492,820.88

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Solution

The third proportional to 342,126.75 and 492,820.88 is: 709,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,126.75 : 492,820.88 = 492,820.88 : x
  2. Step 2: Convert to fraction form
    342,126.75/492,820.88 = 492,820.88/x
  3. Step 3: Cross multiply
    342,126.75x = 492,820.88 × 492,820.88
  4. Step 4: Simplify right side
    342,126.75x = 242,872,414,835.77
  5. Step 5: Solve for x
    x = 242,872,414,835.77/342,126.75
  6. Step 6: Final answer
    x = 709,890.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.