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Finding the Third Proportional to 143,604 and 304,488

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Solution

The third proportional to 143,604 and 304,488 is: 645,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,604 : 304,488 = 304,488 : x
  2. Step 2: Convert to fraction form
    143,604/304,488 = 304,488/x
  3. Step 3: Cross multiply
    143,604x = 304,488 × 304,488
  4. Step 4: Simplify right side
    143,604x = 92,712,942,144
  5. Step 5: Solve for x
    x = 92,712,942,144/143,604
  6. Step 6: Final answer
    x = 645,615.32

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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.