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Finding the Third Proportional to 334,727 and 509,931

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Solution

The third proportional to 334,727 and 509,931 is: 776,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,727 : 509,931 = 509,931 : x
  2. Step 2: Convert to fraction form
    334,727/509,931 = 509,931/x
  3. Step 3: Cross multiply
    334,727x = 509,931 × 509,931
  4. Step 4: Simplify right side
    334,727x = 260,029,624,761
  5. Step 5: Solve for x
    x = 260,029,624,761/334,727
  6. Step 6: Final answer
    x = 776,840.90

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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.