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Finding the Third Proportional to 788,700 and 1,287,757.50

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Solution

The third proportional to 788,700 and 1,287,757.50 is: 2,102,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,700 : 1,287,757.50 = 1,287,757.50 : x
  2. Step 2: Convert to fraction form
    788,700/1,287,757.50 = 1,287,757.50/x
  3. Step 3: Cross multiply
    788,700x = 1,287,757.50 × 1,287,757.50
  4. Step 4: Simplify right side
    788,700x = 1,658,319,378,806.25
  5. Step 5: Solve for x
    x = 1,658,319,378,806.25/788,700
  6. Step 6: Final answer
    x = 2,102,598.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.