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Finding the Third Proportional to 369,328 and 808,928

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Solution

The third proportional to 369,328 and 808,928 is: 1,771,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,328 : 808,928 = 808,928 : x
  2. Step 2: Convert to fraction form
    369,328/808,928 = 808,928/x
  3. Step 3: Cross multiply
    369,328x = 808,928 × 808,928
  4. Step 4: Simplify right side
    369,328x = 654,364,509,184
  5. Step 5: Solve for x
    x = 654,364,509,184/369,328
  6. Step 6: Final answer
    x = 1,771,770.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.