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Finding the Third Proportional to 608,622.45 and 946,157.28

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Solution

The third proportional to 608,622.45 and 946,157.28 is: 1,470,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,622.45 : 946,157.28 = 946,157.28 : x
  2. Step 2: Convert to fraction form
    608,622.45/946,157.28 = 946,157.28/x
  3. Step 3: Cross multiply
    608,622.45x = 946,157.28 × 946,157.28
  4. Step 4: Simplify right side
    608,622.45x = 895,213,602,710.37
  5. Step 5: Solve for x
    x = 895,213,602,710.37/608,622.45
  6. Step 6: Final answer
    x = 1,470,884.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.