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Finding the Third Proportional to 338,435 and 507,717

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Solution

The third proportional to 338,435 and 507,717 is: 761,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,435 : 507,717 = 507,717 : x
  2. Step 2: Convert to fraction form
    338,435/507,717 = 507,717/x
  3. Step 3: Cross multiply
    338,435x = 507,717 × 507,717
  4. Step 4: Simplify right side
    338,435x = 257,776,552,089
  5. Step 5: Solve for x
    x = 257,776,552,089/338,435
  6. Step 6: Final answer
    x = 761,672.26

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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.