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Finding the Third Proportional to 289,890 and 651,032

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Solution

The third proportional to 289,890 and 651,032 is: 1,462,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,890 : 651,032 = 651,032 : x
  2. Step 2: Convert to fraction form
    289,890/651,032 = 651,032/x
  3. Step 3: Cross multiply
    289,890x = 651,032 × 651,032
  4. Step 4: Simplify right side
    289,890x = 423,842,665,024
  5. Step 5: Solve for x
    x = 423,842,665,024/289,890
  6. Step 6: Final answer
    x = 1,462,081.01

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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.