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Finding the Third Proportional to 430,998.75 and 633,987

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Solution

The third proportional to 430,998.75 and 633,987 is: 932,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,998.75 : 633,987 = 633,987 : x
  2. Step 2: Convert to fraction form
    430,998.75/633,987 = 633,987/x
  3. Step 3: Cross multiply
    430,998.75x = 633,987 × 633,987
  4. Step 4: Simplify right side
    430,998.75x = 401,939,516,169
  5. Step 5: Solve for x
    x = 401,939,516,169/430,998.75
  6. Step 6: Final answer
    x = 932,576.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.