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Finding the Third Proportional to 559,009 and 790,237.50

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Solution

The third proportional to 559,009 and 790,237.50 is: 1,117,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,009 : 790,237.50 = 790,237.50 : x
  2. Step 2: Convert to fraction form
    559,009/790,237.50 = 790,237.50/x
  3. Step 3: Cross multiply
    559,009x = 790,237.50 × 790,237.50
  4. Step 4: Simplify right side
    559,009x = 624,475,306,406.25
  5. Step 5: Solve for x
    x = 624,475,306,406.25/559,009
  6. Step 6: Final answer
    x = 1,117,111.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.