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Finding the Third Proportional to 816,459.75 and 1,287,292.50

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Solution

The third proportional to 816,459.75 and 1,287,292.50 is: 2,029,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,459.75 : 1,287,292.50 = 1,287,292.50 : x
  2. Step 2: Convert to fraction form
    816,459.75/1,287,292.50 = 1,287,292.50/x
  3. Step 3: Cross multiply
    816,459.75x = 1,287,292.50 × 1,287,292.50
  4. Step 4: Simplify right side
    816,459.75x = 1,657,121,980,556.25
  5. Step 5: Solve for x
    x = 1,657,121,980,556.25/816,459.75
  6. Step 6: Final answer
    x = 2,029,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.