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Finding the Third Proportional to 287,415.75 and 604,597.50

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Solution

The third proportional to 287,415.75 and 604,597.50 is: 1,271,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,415.75 : 604,597.50 = 604,597.50 : x
  2. Step 2: Convert to fraction form
    287,415.75/604,597.50 = 604,597.50/x
  3. Step 3: Cross multiply
    287,415.75x = 604,597.50 × 604,597.50
  4. Step 4: Simplify right side
    287,415.75x = 365,538,137,006.25
  5. Step 5: Solve for x
    x = 365,538,137,006.25/287,415.75
  6. Step 6: Final answer
    x = 1,271,809.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.