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Finding the Third Proportional to 338,435 and 507,726

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Solution

The third proportional to 338,435 and 507,726 is: 761,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,435 : 507,726 = 507,726 : x
  2. Step 2: Convert to fraction form
    338,435/507,726 = 507,726/x
  3. Step 3: Cross multiply
    338,435x = 507,726 × 507,726
  4. Step 4: Simplify right side
    338,435x = 257,785,691,076
  5. Step 5: Solve for x
    x = 257,785,691,076/338,435
  6. Step 6: Final answer
    x = 761,699.27

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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.