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Finding the Third Proportional to 290,724 and 392,670

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Solution

The third proportional to 290,724 and 392,670 is: 530,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,724 : 392,670 = 392,670 : x
  2. Step 2: Convert to fraction form
    290,724/392,670 = 392,670/x
  3. Step 3: Cross multiply
    290,724x = 392,670 × 392,670
  4. Step 4: Simplify right side
    290,724x = 154,189,728,900
  5. Step 5: Solve for x
    x = 154,189,728,900/290,724
  6. Step 6: Final answer
    x = 530,364.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.