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Finding the Third Proportional to 290,784 and 390,744

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Solution

The third proportional to 290,784 and 390,744 is: 525,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,784 : 390,744 = 390,744 : x
  2. Step 2: Convert to fraction form
    290,784/390,744 = 390,744/x
  3. Step 3: Cross multiply
    290,784x = 390,744 × 390,744
  4. Step 4: Simplify right side
    290,784x = 152,680,873,536
  5. Step 5: Solve for x
    x = 152,680,873,536/290,784
  6. Step 6: Final answer
    x = 525,066.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.