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Finding the Third Proportional to 289,494 and 637,885.13

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Solution

The third proportional to 289,494 and 637,885.13 is: 1,405,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,494 : 637,885.13 = 637,885.13 : x
  2. Step 2: Convert to fraction form
    289,494/637,885.13 = 637,885.13/x
  3. Step 3: Cross multiply
    289,494x = 637,885.13 × 637,885.13
  4. Step 4: Simplify right side
    289,494x = 406,897,432,696.27
  5. Step 5: Solve for x
    x = 406,897,432,696.27/289,494
  6. Step 6: Final answer
    x = 1,405,547.03

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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.