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Finding the Third Proportional to 109,465 and 235,817

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Solution

The third proportional to 109,465 and 235,817 is: 508,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,465 : 235,817 = 235,817 : x
  2. Step 2: Convert to fraction form
    109,465/235,817 = 235,817/x
  3. Step 3: Cross multiply
    109,465x = 235,817 × 235,817
  4. Step 4: Simplify right side
    109,465x = 55,609,657,489
  5. Step 5: Solve for x
    x = 55,609,657,489/109,465
  6. Step 6: Final answer
    x = 508,013.13

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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.