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Finding the Third Proportional to 578,146 and 889,747

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Solution

The third proportional to 578,146 and 889,747 is: 1,369,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,146 : 889,747 = 889,747 : x
  2. Step 2: Convert to fraction form
    578,146/889,747 = 889,747/x
  3. Step 3: Cross multiply
    578,146x = 889,747 × 889,747
  4. Step 4: Simplify right side
    578,146x = 791,649,724,009
  5. Step 5: Solve for x
    x = 791,649,724,009/578,146
  6. Step 6: Final answer
    x = 1,369,290.32

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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.