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Finding the Third Proportional to 289,499 and 637,896

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Solution

The third proportional to 289,499 and 637,896 is: 1,405,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,499 : 637,896 = 637,896 : x
  2. Step 2: Convert to fraction form
    289,499/637,896 = 637,896/x
  3. Step 3: Cross multiply
    289,499x = 637,896 × 637,896
  4. Step 4: Simplify right side
    289,499x = 406,911,306,816
  5. Step 5: Solve for x
    x = 406,911,306,816/289,499
  6. Step 6: Final answer
    x = 1,405,570.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.