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Finding the Third Proportional to 342,123.75 and 492,816.94

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Solution

The third proportional to 342,123.75 and 492,816.94 is: 709,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,123.75 : 492,816.94 = 492,816.94 : x
  2. Step 2: Convert to fraction form
    342,123.75/492,816.94 = 492,816.94/x
  3. Step 3: Cross multiply
    342,123.75x = 492,816.94 × 492,816.94
  4. Step 4: Simplify right side
    342,123.75x = 242,868,533,886.88
  5. Step 5: Solve for x
    x = 242,868,533,886.88/342,123.75
  6. Step 6: Final answer
    x = 709,885.05

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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.