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Finding the Third Proportional to 302,507 and 660,417

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Solution

The third proportional to 302,507 and 660,417 is: 1,441,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,507 : 660,417 = 660,417 : x
  2. Step 2: Convert to fraction form
    302,507/660,417 = 660,417/x
  3. Step 3: Cross multiply
    302,507x = 660,417 × 660,417
  4. Step 4: Simplify right side
    302,507x = 436,150,613,889
  5. Step 5: Solve for x
    x = 436,150,613,889/302,507
  6. Step 6: Final answer
    x = 1,441,786.85

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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.