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Finding the Third Proportional to 289,801.13 and 637,405.88

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Solution

The third proportional to 289,801.13 and 637,405.88 is: 1,401,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,801.13 : 637,405.88 = 637,405.88 : x
  2. Step 2: Convert to fraction form
    289,801.13/637,405.88 = 637,405.88/x
  3. Step 3: Cross multiply
    289,801.13x = 637,405.88 × 637,405.88
  4. Step 4: Simplify right side
    289,801.13x = 406,286,249,484.52
  5. Step 5: Solve for x
    x = 406,286,249,484.52/289,801.13
  6. Step 6: Final answer
    x = 1,401,948.49

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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.