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Finding the Third Proportional to 66,473 and 144,609

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Solution

The third proportional to 66,473 and 144,609 is: 314,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,473 : 144,609 = 144,609 : x
  2. Step 2: Convert to fraction form
    66,473/144,609 = 144,609/x
  3. Step 3: Cross multiply
    66,473x = 144,609 × 144,609
  4. Step 4: Simplify right side
    66,473x = 20,911,762,881
  5. Step 5: Solve for x
    x = 20,911,762,881/66,473
  6. Step 6: Final answer
    x = 314,590.33

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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.