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Finding the Third Proportional to 456,890.63 and 986,220.56

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Solution

The third proportional to 456,890.63 and 986,220.56 is: 2,128,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,890.63 : 986,220.56 = 986,220.56 : x
  2. Step 2: Convert to fraction form
    456,890.63/986,220.56 = 986,220.56/x
  3. Step 3: Cross multiply
    456,890.63x = 986,220.56 × 986,220.56
  4. Step 4: Simplify right side
    456,890.63x = 972,630,997,897.82
  5. Step 5: Solve for x
    x = 972,630,997,897.82/456,890.63
  6. Step 6: Final answer
    x = 2,128,804.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.