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Finding the Third Proportional to 170,319 and 369,616.50

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Solution

The third proportional to 170,319 and 369,616.50 is: 802,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,319 : 369,616.50 = 369,616.50 : x
  2. Step 2: Convert to fraction form
    170,319/369,616.50 = 369,616.50/x
  3. Step 3: Cross multiply
    170,319x = 369,616.50 × 369,616.50
  4. Step 4: Simplify right side
    170,319x = 136,616,357,072.25
  5. Step 5: Solve for x
    x = 136,616,357,072.25/170,319
  6. Step 6: Final answer
    x = 802,120.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.