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Finding the Third Proportional to 338,433 and 507,716

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Solution

The third proportional to 338,433 and 507,716 is: 761,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,433 : 507,716 = 507,716 : x
  2. Step 2: Convert to fraction form
    338,433/507,716 = 507,716/x
  3. Step 3: Cross multiply
    338,433x = 507,716 × 507,716
  4. Step 4: Simplify right side
    338,433x = 257,775,536,656
  5. Step 5: Solve for x
    x = 257,775,536,656/338,433
  6. Step 6: Final answer
    x = 761,673.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.