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Finding the Third Proportional to 145,842 and 343,386

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Solution

The third proportional to 145,842 and 343,386 is: 808,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842 : 343,386 = 343,386 : x
  2. Step 2: Convert to fraction form
    145,842/343,386 = 343,386/x
  3. Step 3: Cross multiply
    145,842x = 343,386 × 343,386
  4. Step 4: Simplify right side
    145,842x = 117,913,944,996
  5. Step 5: Solve for x
    x = 117,913,944,996/145,842
  6. Step 6: Final answer
    x = 808,504.72

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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.