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Finding the Third Proportional to 288,769 and 444,430

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Solution

The third proportional to 288,769 and 444,430 is: 684,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,769 : 444,430 = 444,430 : x
  2. Step 2: Convert to fraction form
    288,769/444,430 = 444,430/x
  3. Step 3: Cross multiply
    288,769x = 444,430 × 444,430
  4. Step 4: Simplify right side
    288,769x = 197,518,024,900
  5. Step 5: Solve for x
    x = 197,518,024,900/288,769
  6. Step 6: Final answer
    x = 684,000.10

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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.