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Finding the Third Proportional to 280,322.63 and 420,397.50

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Solution

The third proportional to 280,322.63 and 420,397.50 is: 630,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,322.63 : 420,397.50 = 420,397.50 : x
  2. Step 2: Convert to fraction form
    280,322.63/420,397.50 = 420,397.50/x
  3. Step 3: Cross multiply
    280,322.63x = 420,397.50 × 420,397.50
  4. Step 4: Simplify right side
    280,322.63x = 176,734,058,006.25
  5. Step 5: Solve for x
    x = 176,734,058,006.25/280,322.63
  6. Step 6: Final answer
    x = 630,466.62

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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.