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Finding the Third Proportional to 309,113 and 651,435

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Solution

The third proportional to 309,113 and 651,435 is: 1,372,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,113 : 651,435 = 651,435 : x
  2. Step 2: Convert to fraction form
    309,113/651,435 = 651,435/x
  3. Step 3: Cross multiply
    309,113x = 651,435 × 651,435
  4. Step 4: Simplify right side
    309,113x = 424,367,559,225
  5. Step 5: Solve for x
    x = 424,367,559,225/309,113
  6. Step 6: Final answer
    x = 1,372,855.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.