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Finding the Third Proportional to 343,984 and 531,312

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Solution

The third proportional to 343,984 and 531,312 is: 820,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,984 : 531,312 = 531,312 : x
  2. Step 2: Convert to fraction form
    343,984/531,312 = 531,312/x
  3. Step 3: Cross multiply
    343,984x = 531,312 × 531,312
  4. Step 4: Simplify right side
    343,984x = 282,292,441,344
  5. Step 5: Solve for x
    x = 282,292,441,344/343,984
  6. Step 6: Final answer
    x = 820,655.73

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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.