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Finding the Third Proportional to 301,428 and 421,440

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Solution

The third proportional to 301,428 and 421,440 is: 589,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,428 : 421,440 = 421,440 : x
  2. Step 2: Convert to fraction form
    301,428/421,440 = 421,440/x
  3. Step 3: Cross multiply
    301,428x = 421,440 × 421,440
  4. Step 4: Simplify right side
    301,428x = 177,611,673,600
  5. Step 5: Solve for x
    x = 177,611,673,600/301,428
  6. Step 6: Final answer
    x = 589,234.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.