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Finding the Third Proportional to 334,706 and 509,911

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Solution

The third proportional to 334,706 and 509,911 is: 776,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,706 : 509,911 = 509,911 : x
  2. Step 2: Convert to fraction form
    334,706/509,911 = 509,911/x
  3. Step 3: Cross multiply
    334,706x = 509,911 × 509,911
  4. Step 4: Simplify right side
    334,706x = 260,009,227,921
  5. Step 5: Solve for x
    x = 260,009,227,921/334,706
  6. Step 6: Final answer
    x = 776,828.70

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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.