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Finding the Third Proportional to 216,604 and 334,740

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Solution

The third proportional to 216,604 and 334,740 is: 517,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,604 : 334,740 = 334,740 : x
  2. Step 2: Convert to fraction form
    216,604/334,740 = 334,740/x
  3. Step 3: Cross multiply
    216,604x = 334,740 × 334,740
  4. Step 4: Simplify right side
    216,604x = 112,050,867,600
  5. Step 5: Solve for x
    x = 112,050,867,600/216,604
  6. Step 6: Final answer
    x = 517,307.47

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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.