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Finding the Third Proportional to 63,243 and 140,490

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Solution

The third proportional to 63,243 and 140,490 is: 312,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,243 : 140,490 = 140,490 : x
  2. Step 2: Convert to fraction form
    63,243/140,490 = 140,490/x
  3. Step 3: Cross multiply
    63,243x = 140,490 × 140,490
  4. Step 4: Simplify right side
    63,243x = 19,737,440,100
  5. Step 5: Solve for x
    x = 19,737,440,100/63,243
  6. Step 6: Final answer
    x = 312,088.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.