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Finding the Third Proportional to 343,280 and 531,526

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Solution

The third proportional to 343,280 and 531,526 is: 823,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,280 : 531,526 = 531,526 : x
  2. Step 2: Convert to fraction form
    343,280/531,526 = 531,526/x
  3. Step 3: Cross multiply
    343,280x = 531,526 × 531,526
  4. Step 4: Simplify right side
    343,280x = 282,519,888,676
  5. Step 5: Solve for x
    x = 282,519,888,676/343,280
  6. Step 6: Final answer
    x = 823,001.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.