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Finding the Third Proportional to 345,205.50 and 466,394.25

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Solution

The third proportional to 345,205.50 and 466,394.25 is: 630,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,205.50 : 466,394.25 = 466,394.25 : x
  2. Step 2: Convert to fraction form
    345,205.50/466,394.25 = 466,394.25/x
  3. Step 3: Cross multiply
    345,205.50x = 466,394.25 × 466,394.25
  4. Step 4: Simplify right side
    345,205.50x = 217,523,596,433.06
  5. Step 5: Solve for x
    x = 217,523,596,433.06/345,205.50
  6. Step 6: Final answer
    x = 630,127.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.