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Finding the Third Proportional to 145,820 and 343,319

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Solution

The third proportional to 145,820 and 343,319 is: 808,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820 : 343,319 = 343,319 : x
  2. Step 2: Convert to fraction form
    145,820/343,319 = 343,319/x
  3. Step 3: Cross multiply
    145,820x = 343,319 × 343,319
  4. Step 4: Simplify right side
    145,820x = 117,867,935,761
  5. Step 5: Solve for x
    x = 117,867,935,761/145,820
  6. Step 6: Final answer
    x = 808,311.18

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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.