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Finding the Third Proportional to 234,811 and 507,139

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Solution

The third proportional to 234,811 and 507,139 is: 1,095,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,811 : 507,139 = 507,139 : x
  2. Step 2: Convert to fraction form
    234,811/507,139 = 507,139/x
  3. Step 3: Cross multiply
    234,811x = 507,139 × 507,139
  4. Step 4: Simplify right side
    234,811x = 257,189,965,321
  5. Step 5: Solve for x
    x = 257,189,965,321/234,811
  6. Step 6: Final answer
    x = 1,095,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.