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Finding the Third Proportional to 289,888 and 400,560

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Solution

The third proportional to 289,888 and 400,560 is: 553,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,888 : 400,560 = 400,560 : x
  2. Step 2: Convert to fraction form
    289,888/400,560 = 400,560/x
  3. Step 3: Cross multiply
    289,888x = 400,560 × 400,560
  4. Step 4: Simplify right side
    289,888x = 160,448,313,600
  5. Step 5: Solve for x
    x = 160,448,313,600/289,888
  6. Step 6: Final answer
    x = 553,483.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.