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Finding the Third Proportional to 292,268 and 637,492

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Solution

The third proportional to 292,268 and 637,492 is: 1,390,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,268 : 637,492 = 637,492 : x
  2. Step 2: Convert to fraction form
    292,268/637,492 = 637,492/x
  3. Step 3: Cross multiply
    292,268x = 637,492 × 637,492
  4. Step 4: Simplify right side
    292,268x = 406,396,050,064
  5. Step 5: Solve for x
    x = 406,396,050,064/292,268
  6. Step 6: Final answer
    x = 1,390,491.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.