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Finding the Third Proportional to 329,520 and 715,904

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Solution

The third proportional to 329,520 and 715,904 is: 1,555,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,520 : 715,904 = 715,904 : x
  2. Step 2: Convert to fraction form
    329,520/715,904 = 715,904/x
  3. Step 3: Cross multiply
    329,520x = 715,904 × 715,904
  4. Step 4: Simplify right side
    329,520x = 512,518,537,216
  5. Step 5: Solve for x
    x = 512,518,537,216/329,520
  6. Step 6: Final answer
    x = 1,555,348.80

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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.