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Finding the Third Proportional to 235,419 and 358,636.50

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Solution

The third proportional to 235,419 and 358,636.50 is: 546,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,419 : 358,636.50 = 358,636.50 : x
  2. Step 2: Convert to fraction form
    235,419/358,636.50 = 358,636.50/x
  3. Step 3: Cross multiply
    235,419x = 358,636.50 × 358,636.50
  4. Step 4: Simplify right side
    235,419x = 128,620,139,132.25
  5. Step 5: Solve for x
    x = 128,620,139,132.25/235,419
  6. Step 6: Final answer
    x = 546,345.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.