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Finding the Third Proportional to 749,403 and 1,104,259.50

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Solution

The third proportional to 749,403 and 1,104,259.50 is: 1,627,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,403 : 1,104,259.50 = 1,104,259.50 : x
  2. Step 2: Convert to fraction form
    749,403/1,104,259.50 = 1,104,259.50/x
  3. Step 3: Cross multiply
    749,403x = 1,104,259.50 × 1,104,259.50
  4. Step 4: Simplify right side
    749,403x = 1,219,389,043,340.25
  5. Step 5: Solve for x
    x = 1,219,389,043,340.25/749,403
  6. Step 6: Final answer
    x = 1,627,147.27

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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.