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Finding the Third Proportional to 507,080 and 759,040

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Solution

The third proportional to 507,080 and 759,040 is: 1,136,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,080 : 759,040 = 759,040 : x
  2. Step 2: Convert to fraction form
    507,080/759,040 = 759,040/x
  3. Step 3: Cross multiply
    507,080x = 759,040 × 759,040
  4. Step 4: Simplify right side
    507,080x = 576,141,721,600
  5. Step 5: Solve for x
    x = 576,141,721,600/507,080
  6. Step 6: Final answer
    x = 1,136,194.92

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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.