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Finding the Third Proportional to 338,427 and 507,713

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Solution

The third proportional to 338,427 and 507,713 is: 761,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,427 : 507,713 = 507,713 : x
  2. Step 2: Convert to fraction form
    338,427/507,713 = 507,713/x
  3. Step 3: Cross multiply
    338,427x = 507,713 × 507,713
  4. Step 4: Simplify right side
    338,427x = 257,772,490,369
  5. Step 5: Solve for x
    x = 257,772,490,369/338,427
  6. Step 6: Final answer
    x = 761,678.27

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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.