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Finding the Third Proportional to 328,148.30 and 712,315.69

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Solution

The third proportional to 328,148.30 and 712,315.69 is: 1,546,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,148.30 : 712,315.69 = 712,315.69 : x
  2. Step 2: Convert to fraction form
    328,148.30/712,315.69 = 712,315.69/x
  3. Step 3: Cross multiply
    328,148.30x = 712,315.69 × 712,315.69
  4. Step 4: Simplify right side
    328,148.30x = 507,393,638,658.60
  5. Step 5: Solve for x
    x = 507,393,638,658.60/328,148.30
  6. Step 6: Final answer
    x = 1,546,232.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.