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Finding the Third Proportional to 343,130 and 520,527

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Solution

The third proportional to 343,130 and 520,527 is: 789,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,130 : 520,527 = 520,527 : x
  2. Step 2: Convert to fraction form
    343,130/520,527 = 520,527/x
  3. Step 3: Cross multiply
    343,130x = 520,527 × 520,527
  4. Step 4: Simplify right side
    343,130x = 270,948,357,729
  5. Step 5: Solve for x
    x = 270,948,357,729/343,130
  6. Step 6: Final answer
    x = 789,637.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.