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Finding the Third Proportional to 306,109.50 and 460,339.50

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Solution

The third proportional to 306,109.50 and 460,339.50 is: 692,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,109.50 : 460,339.50 = 460,339.50 : x
  2. Step 2: Convert to fraction form
    306,109.50/460,339.50 = 460,339.50/x
  3. Step 3: Cross multiply
    306,109.50x = 460,339.50 × 460,339.50
  4. Step 4: Simplify right side
    306,109.50x = 211,912,455,260.25
  5. Step 5: Solve for x
    x = 211,912,455,260.25/306,109.50
  6. Step 6: Final answer
    x = 692,276.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.