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Finding the Third Proportional to 378,506 and 562,291

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Solution

The third proportional to 378,506 and 562,291 is: 835,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,506 : 562,291 = 562,291 : x
  2. Step 2: Convert to fraction form
    378,506/562,291 = 562,291/x
  3. Step 3: Cross multiply
    378,506x = 562,291 × 562,291
  4. Step 4: Simplify right side
    378,506x = 316,171,168,681
  5. Step 5: Solve for x
    x = 316,171,168,681/378,506
  6. Step 6: Final answer
    x = 835,313.49

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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.