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Finding the Third Proportional to 369,116 and 578,270

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Solution

The third proportional to 369,116 and 578,270 is: 905,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,116 : 578,270 = 578,270 : x
  2. Step 2: Convert to fraction form
    369,116/578,270 = 578,270/x
  3. Step 3: Cross multiply
    369,116x = 578,270 × 578,270
  4. Step 4: Simplify right side
    369,116x = 334,396,192,900
  5. Step 5: Solve for x
    x = 334,396,192,900/369,116
  6. Step 6: Final answer
    x = 905,937.95

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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.