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Finding the Third Proportional to 145,818 and 343,314

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Solution

The third proportional to 145,818 and 343,314 is: 808,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,818 : 343,314 = 343,314 : x
  2. Step 2: Convert to fraction form
    145,818/343,314 = 343,314/x
  3. Step 3: Cross multiply
    145,818x = 343,314 × 343,314
  4. Step 4: Simplify right side
    145,818x = 117,864,502,596
  5. Step 5: Solve for x
    x = 117,864,502,596/145,818
  6. Step 6: Final answer
    x = 808,298.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.