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Finding the Third Proportional to 289,316 and 444,970

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Solution

The third proportional to 289,316 and 444,970 is: 684,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,316 : 444,970 = 444,970 : x
  2. Step 2: Convert to fraction form
    289,316/444,970 = 444,970/x
  3. Step 3: Cross multiply
    289,316x = 444,970 × 444,970
  4. Step 4: Simplify right side
    289,316x = 197,998,300,900
  5. Step 5: Solve for x
    x = 197,998,300,900/289,316
  6. Step 6: Final answer
    x = 684,366.92

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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.