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Finding the Third Proportional to 302,520 and 660,057

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Solution

The third proportional to 302,520 and 660,057 is: 1,440,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,520 : 660,057 = 660,057 : x
  2. Step 2: Convert to fraction form
    302,520/660,057 = 660,057/x
  3. Step 3: Cross multiply
    302,520x = 660,057 × 660,057
  4. Step 4: Simplify right side
    302,520x = 435,675,243,249
  5. Step 5: Solve for x
    x = 435,675,243,249/302,520
  6. Step 6: Final answer
    x = 1,440,153.52

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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.