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Finding the Third Proportional to 331,092 and 507,312

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Solution

The third proportional to 331,092 and 507,312 is: 777,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,092 : 507,312 = 507,312 : x
  2. Step 2: Convert to fraction form
    331,092/507,312 = 507,312/x
  3. Step 3: Cross multiply
    331,092x = 507,312 × 507,312
  4. Step 4: Simplify right side
    331,092x = 257,365,465,344
  5. Step 5: Solve for x
    x = 257,365,465,344/331,092
  6. Step 6: Final answer
    x = 777,323.12

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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.