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Finding the Third Proportional to 369,083 and 578,228

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Solution

The third proportional to 369,083 and 578,228 is: 905,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,083 : 578,228 = 578,228 : x
  2. Step 2: Convert to fraction form
    369,083/578,228 = 578,228/x
  3. Step 3: Cross multiply
    369,083x = 578,228 × 578,228
  4. Step 4: Simplify right side
    369,083x = 334,347,619,984
  5. Step 5: Solve for x
    x = 334,347,619,984/369,083
  6. Step 6: Final answer
    x = 905,887.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.