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Finding the Third Proportional to 289,888 and 651,028

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Solution

The third proportional to 289,888 and 651,028 is: 1,462,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,888 : 651,028 = 651,028 : x
  2. Step 2: Convert to fraction form
    289,888/651,028 = 651,028/x
  3. Step 3: Cross multiply
    289,888x = 651,028 × 651,028
  4. Step 4: Simplify right side
    289,888x = 423,837,456,784
  5. Step 5: Solve for x
    x = 423,837,456,784/289,888
  6. Step 6: Final answer
    x = 1,462,073.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.