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Finding the Third Proportional to 689,369.50 and 1,034,783

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Solution

The third proportional to 689,369.50 and 1,034,783 is: 1,553,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,369.50 : 1,034,783 = 1,034,783 : x
  2. Step 2: Convert to fraction form
    689,369.50/1,034,783 = 1,034,783/x
  3. Step 3: Cross multiply
    689,369.50x = 1,034,783 × 1,034,783
  4. Step 4: Simplify right side
    689,369.50x = 1,070,775,857,089
  5. Step 5: Solve for x
    x = 1,070,775,857,089/689,369.50
  6. Step 6: Final answer
    x = 1,553,268.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.