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Finding the Third Proportional to 578,152 and 889,756

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Solution

The third proportional to 578,152 and 889,756 is: 1,369,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,152 : 889,756 = 889,756 : x
  2. Step 2: Convert to fraction form
    578,152/889,756 = 889,756/x
  3. Step 3: Cross multiply
    578,152x = 889,756 × 889,756
  4. Step 4: Simplify right side
    578,152x = 791,665,739,536
  5. Step 5: Solve for x
    x = 791,665,739,536/578,152
  6. Step 6: Final answer
    x = 1,369,303.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.