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Finding the Third Proportional to 291,492.50 and 637,489

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Solution

The third proportional to 291,492.50 and 637,489 is: 1,394,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,492.50 : 637,489 = 637,489 : x
  2. Step 2: Convert to fraction form
    291,492.50/637,489 = 637,489/x
  3. Step 3: Cross multiply
    291,492.50x = 637,489 × 637,489
  4. Step 4: Simplify right side
    291,492.50x = 406,392,225,121
  5. Step 5: Solve for x
    x = 406,392,225,121/291,492.50
  6. Step 6: Final answer
    x = 1,394,177.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.