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Finding the Third Proportional to 507,052 and 779,440

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Solution

The third proportional to 507,052 and 779,440 is: 1,198,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,052 : 779,440 = 779,440 : x
  2. Step 2: Convert to fraction form
    507,052/779,440 = 779,440/x
  3. Step 3: Cross multiply
    507,052x = 779,440 × 779,440
  4. Step 4: Simplify right side
    507,052x = 607,526,713,600
  5. Step 5: Solve for x
    x = 607,526,713,600/507,052
  6. Step 6: Final answer
    x = 1,198,154.65

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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.