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Finding the Third Proportional to 343,988 and 531,318

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Solution

The third proportional to 343,988 and 531,318 is: 820,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,988 : 531,318 = 531,318 : x
  2. Step 2: Convert to fraction form
    343,988/531,318 = 531,318/x
  3. Step 3: Cross multiply
    343,988x = 531,318 × 531,318
  4. Step 4: Simplify right side
    343,988x = 282,298,817,124
  5. Step 5: Solve for x
    x = 282,298,817,124/343,988
  6. Step 6: Final answer
    x = 820,664.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.