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Finding the Third Proportional to 231,030 and 507,420

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Solution

The third proportional to 231,030 and 507,420 is: 1,114,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,030 : 507,420 = 507,420 : x
  2. Step 2: Convert to fraction form
    231,030/507,420 = 507,420/x
  3. Step 3: Cross multiply
    231,030x = 507,420 × 507,420
  4. Step 4: Simplify right side
    231,030x = 257,475,056,400
  5. Step 5: Solve for x
    x = 257,475,056,400/231,030
  6. Step 6: Final answer
    x = 1,114,465.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.