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Finding the Third Proportional to 30,411 and 65,316

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Solution

The third proportional to 30,411 and 65,316 is: 140,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411 : 65,316 = 65,316 : x
  2. Step 2: Convert to fraction form
    30,411/65,316 = 65,316/x
  3. Step 3: Cross multiply
    30,411x = 65,316 × 65,316
  4. Step 4: Simplify right side
    30,411x = 4,266,179,856
  5. Step 5: Solve for x
    x = 4,266,179,856/30,411
  6. Step 6: Final answer
    x = 140,284.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.