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Finding the Third Proportional to 378,507 and 562,293

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Solution

The third proportional to 378,507 and 562,293 is: 835,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,507 : 562,293 = 562,293 : x
  2. Step 2: Convert to fraction form
    378,507/562,293 = 562,293/x
  3. Step 3: Cross multiply
    378,507x = 562,293 × 562,293
  4. Step 4: Simplify right side
    378,507x = 316,173,417,849
  5. Step 5: Solve for x
    x = 316,173,417,849/378,507
  6. Step 6: Final answer
    x = 835,317.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.