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Finding the Third Proportional to 369,138 and 578,310

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Solution

The third proportional to 369,138 and 578,310 is: 906,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,138 : 578,310 = 578,310 : x
  2. Step 2: Convert to fraction form
    369,138/578,310 = 578,310/x
  3. Step 3: Cross multiply
    369,138x = 578,310 × 578,310
  4. Step 4: Simplify right side
    369,138x = 334,442,456,100
  5. Step 5: Solve for x
    x = 334,442,456,100/369,138
  6. Step 6: Final answer
    x = 906,009.29

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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.