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Finding the Third Proportional to 338,442 and 507,728

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Solution

The third proportional to 338,442 and 507,728 is: 761,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,442 : 507,728 = 507,728 : x
  2. Step 2: Convert to fraction form
    338,442/507,728 = 507,728/x
  3. Step 3: Cross multiply
    338,442x = 507,728 × 507,728
  4. Step 4: Simplify right side
    338,442x = 257,787,721,984
  5. Step 5: Solve for x
    x = 257,787,721,984/338,442
  6. Step 6: Final answer
    x = 761,689.51

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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.