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Finding the Third Proportional to 145,706 and 221,582

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Solution

The third proportional to 145,706 and 221,582 is: 336,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,706 : 221,582 = 221,582 : x
  2. Step 2: Convert to fraction form
    145,706/221,582 = 221,582/x
  3. Step 3: Cross multiply
    145,706x = 221,582 × 221,582
  4. Step 4: Simplify right side
    145,706x = 49,098,582,724
  5. Step 5: Solve for x
    x = 49,098,582,724/145,706
  6. Step 6: Final answer
    x = 336,970.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.