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Finding the Third Proportional to 210,438 and 507,141

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Solution

The third proportional to 210,438 and 507,141 is: 1,222,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438 : 507,141 = 507,141 : x
  2. Step 2: Convert to fraction form
    210,438/507,141 = 507,141/x
  3. Step 3: Cross multiply
    210,438x = 507,141 × 507,141
  4. Step 4: Simplify right side
    210,438x = 257,191,993,881
  5. Step 5: Solve for x
    x = 257,191,993,881/210,438
  6. Step 6: Final answer
    x = 1,222,174.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.