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Finding the Third Proportional to 320,937.75 and 499,808.25

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Solution

The third proportional to 320,937.75 and 499,808.25 is: 778,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,937.75 : 499,808.25 = 499,808.25 : x
  2. Step 2: Convert to fraction form
    320,937.75/499,808.25 = 499,808.25/x
  3. Step 3: Cross multiply
    320,937.75x = 499,808.25 × 499,808.25
  4. Step 4: Simplify right side
    320,937.75x = 249,808,286,768.06
  5. Step 5: Solve for x
    x = 249,808,286,768.06/320,937.75
  6. Step 6: Final answer
    x = 778,369.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.