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Finding the Third Proportional to 331,120 and 507,352

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Solution

The third proportional to 331,120 and 507,352 is: 777,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,120 : 507,352 = 507,352 : x
  2. Step 2: Convert to fraction form
    331,120/507,352 = 507,352/x
  3. Step 3: Cross multiply
    331,120x = 507,352 × 507,352
  4. Step 4: Simplify right side
    331,120x = 257,406,051,904
  5. Step 5: Solve for x
    x = 257,406,051,904/331,120
  6. Step 6: Final answer
    x = 777,379.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.