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Finding the Third Proportional to 336,077 and 711,511

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Solution

The third proportional to 336,077 and 711,511 is: 1,506,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,077 : 711,511 = 711,511 : x
  2. Step 2: Convert to fraction form
    336,077/711,511 = 711,511/x
  3. Step 3: Cross multiply
    336,077x = 711,511 × 711,511
  4. Step 4: Simplify right side
    336,077x = 506,247,903,121
  5. Step 5: Solve for x
    x = 506,247,903,121/336,077
  6. Step 6: Final answer
    x = 1,506,344.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.