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Finding the Third Proportional to 612,808.50 and 899,509.50

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Solution

The third proportional to 612,808.50 and 899,509.50 is: 1,320,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,808.50 : 899,509.50 = 899,509.50 : x
  2. Step 2: Convert to fraction form
    612,808.50/899,509.50 = 899,509.50/x
  3. Step 3: Cross multiply
    612,808.50x = 899,509.50 × 899,509.50
  4. Step 4: Simplify right side
    612,808.50x = 809,117,340,590.25
  5. Step 5: Solve for x
    x = 809,117,340,590.25/612,808.50
  6. Step 6: Final answer
    x = 1,320,342.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.