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Finding the Third Proportional to 507,042 and 779,428

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Solution

The third proportional to 507,042 and 779,428 is: 1,198,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,042 : 779,428 = 779,428 : x
  2. Step 2: Convert to fraction form
    507,042/779,428 = 779,428/x
  3. Step 3: Cross multiply
    507,042x = 779,428 × 779,428
  4. Step 4: Simplify right side
    507,042x = 607,508,007,184
  5. Step 5: Solve for x
    x = 607,508,007,184/507,042
  6. Step 6: Final answer
    x = 1,198,141.39

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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.