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Finding the Third Proportional to 506,178 and 711,909

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Solution

The third proportional to 506,178 and 711,909 is: 1,001,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,178 : 711,909 = 711,909 : x
  2. Step 2: Convert to fraction form
    506,178/711,909 = 711,909/x
  3. Step 3: Cross multiply
    506,178x = 711,909 × 711,909
  4. Step 4: Simplify right side
    506,178x = 506,814,424,281
  5. Step 5: Solve for x
    x = 506,814,424,281/506,178
  6. Step 6: Final answer
    x = 1,001,257.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.