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Finding the Third Proportional to 334,420 and 518,397.50

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Solution

The third proportional to 334,420 and 518,397.50 is: 803,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,420 : 518,397.50 = 518,397.50 : x
  2. Step 2: Convert to fraction form
    334,420/518,397.50 = 518,397.50/x
  3. Step 3: Cross multiply
    334,420x = 518,397.50 × 518,397.50
  4. Step 4: Simplify right side
    334,420x = 268,735,968,006.25
  5. Step 5: Solve for x
    x = 268,735,968,006.25/334,420
  6. Step 6: Final answer
    x = 803,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.