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Finding the Third Proportional to 302,938 and 637,214

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Solution

The third proportional to 302,938 and 637,214 is: 1,340,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,938 : 637,214 = 637,214 : x
  2. Step 2: Convert to fraction form
    302,938/637,214 = 637,214/x
  3. Step 3: Cross multiply
    302,938x = 637,214 × 637,214
  4. Step 4: Simplify right side
    302,938x = 406,041,681,796
  5. Step 5: Solve for x
    x = 406,041,681,796/302,938
  6. Step 6: Final answer
    x = 1,340,345.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.