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Finding the Third Proportional to 607,178 and 905,840

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Solution

The third proportional to 607,178 and 905,840 is: 1,351,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,178 : 905,840 = 905,840 : x
  2. Step 2: Convert to fraction form
    607,178/905,840 = 905,840/x
  3. Step 3: Cross multiply
    607,178x = 905,840 × 905,840
  4. Step 4: Simplify right side
    607,178x = 820,546,105,600
  5. Step 5: Solve for x
    x = 820,546,105,600/607,178
  6. Step 6: Final answer
    x = 1,351,409.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.