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Finding the Third Proportional to 302,460 and 660,260

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Solution

The third proportional to 302,460 and 660,260 is: 1,441,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,460 : 660,260 = 660,260 : x
  2. Step 2: Convert to fraction form
    302,460/660,260 = 660,260/x
  3. Step 3: Cross multiply
    302,460x = 660,260 × 660,260
  4. Step 4: Simplify right side
    302,460x = 435,943,267,600
  5. Step 5: Solve for x
    x = 435,943,267,600/302,460
  6. Step 6: Final answer
    x = 1,441,325.36

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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.