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Finding the Third Proportional to 289,722 and 465,363

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Solution

The third proportional to 289,722 and 465,363 is: 747,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,722 : 465,363 = 465,363 : x
  2. Step 2: Convert to fraction form
    289,722/465,363 = 465,363/x
  3. Step 3: Cross multiply
    289,722x = 465,363 × 465,363
  4. Step 4: Simplify right side
    289,722x = 216,562,721,769
  5. Step 5: Solve for x
    x = 216,562,721,769/289,722
  6. Step 6: Final answer
    x = 747,484.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.