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Finding the Third Proportional to 334,705 and 509,910

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Solution

The third proportional to 334,705 and 509,910 is: 776,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,705 : 509,910 = 509,910 : x
  2. Step 2: Convert to fraction form
    334,705/509,910 = 509,910/x
  3. Step 3: Cross multiply
    334,705x = 509,910 × 509,910
  4. Step 4: Simplify right side
    334,705x = 260,008,208,100
  5. Step 5: Solve for x
    x = 260,008,208,100/334,705
  6. Step 6: Final answer
    x = 776,827.98

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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.