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Finding the Third Proportional to 507,080 and 779,484

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Solution

The third proportional to 507,080 and 779,484 is: 1,198,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,080 : 779,484 = 779,484 : x
  2. Step 2: Convert to fraction form
    507,080/779,484 = 779,484/x
  3. Step 3: Cross multiply
    507,080x = 779,484 × 779,484
  4. Step 4: Simplify right side
    507,080x = 607,595,306,256
  5. Step 5: Solve for x
    x = 607,595,306,256/507,080
  6. Step 6: Final answer
    x = 1,198,223.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.