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Finding the Third Proportional to 334,681 and 509,862

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Solution

The third proportional to 334,681 and 509,862 is: 776,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,681 : 509,862 = 509,862 : x
  2. Step 2: Convert to fraction form
    334,681/509,862 = 509,862/x
  3. Step 3: Cross multiply
    334,681x = 509,862 × 509,862
  4. Step 4: Simplify right side
    334,681x = 259,959,259,044
  5. Step 5: Solve for x
    x = 259,959,259,044/334,681
  6. Step 6: Final answer
    x = 776,737.43

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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.