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Finding the Third Proportional to 430,717.50 and 633,637.69

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Solution

The third proportional to 430,717.50 and 633,637.69 is: 932,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,717.50 : 633,637.69 = 633,637.69 : x
  2. Step 2: Convert to fraction form
    430,717.50/633,637.69 = 633,637.69/x
  3. Step 3: Cross multiply
    430,717.50x = 633,637.69 × 633,637.69
  4. Step 4: Simplify right side
    430,717.50x = 401,496,719,020.35
  5. Step 5: Solve for x
    x = 401,496,719,020.35/430,717.50
  6. Step 6: Final answer
    x = 932,157.90

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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.