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Finding the Third Proportional to 357,309 and 766,431

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Solution

The third proportional to 357,309 and 766,431 is: 1,644,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,309 : 766,431 = 766,431 : x
  2. Step 2: Convert to fraction form
    357,309/766,431 = 766,431/x
  3. Step 3: Cross multiply
    357,309x = 766,431 × 766,431
  4. Step 4: Simplify right side
    357,309x = 587,416,477,761
  5. Step 5: Solve for x
    x = 587,416,477,761/357,309
  6. Step 6: Final answer
    x = 1,644,001.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.