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Finding the Third Proportional to 728,473.50 and 1,140,260.63

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Solution

The third proportional to 728,473.50 and 1,140,260.63 is: 1,784,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,473.50 : 1,140,260.63 = 1,140,260.63 : x
  2. Step 2: Convert to fraction form
    728,473.50/1,140,260.63 = 1,140,260.63/x
  3. Step 3: Cross multiply
    728,473.50x = 1,140,260.63 × 1,140,260.63
  4. Step 4: Simplify right side
    728,473.50x = 1,300,194,292,925.39
  5. Step 5: Solve for x
    x = 1,300,194,292,925.39/728,473.50
  6. Step 6: Final answer
    x = 1,784,820.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.