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Finding the Third Proportional to 302,430 and 640,662

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Solution

The third proportional to 302,430 and 640,662 is: 1,357,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,430 : 640,662 = 640,662 : x
  2. Step 2: Convert to fraction form
    302,430/640,662 = 640,662/x
  3. Step 3: Cross multiply
    302,430x = 640,662 × 640,662
  4. Step 4: Simplify right side
    302,430x = 410,447,798,244
  5. Step 5: Solve for x
    x = 410,447,798,244/302,430
  6. Step 6: Final answer
    x = 1,357,166.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.