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Finding the Third Proportional to 210,760 and 507,928

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Solution

The third proportional to 210,760 and 507,928 is: 1,224,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,760 : 507,928 = 507,928 : x
  2. Step 2: Convert to fraction form
    210,760/507,928 = 507,928/x
  3. Step 3: Cross multiply
    210,760x = 507,928 × 507,928
  4. Step 4: Simplify right side
    210,760x = 257,990,853,184
  5. Step 5: Solve for x
    x = 257,990,853,184/210,760
  6. Step 6: Final answer
    x = 1,224,097.80

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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.