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Finding the Third Proportional to 357,697.41 and 777,519.28

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Solution

The third proportional to 357,697.41 and 777,519.28 is: 1,690,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,697.41 : 777,519.28 = 777,519.28 : x
  2. Step 2: Convert to fraction form
    357,697.41/777,519.28 = 777,519.28/x
  3. Step 3: Cross multiply
    357,697.41x = 777,519.28 × 777,519.28
  4. Step 4: Simplify right side
    357,697.41x = 604,536,232,715.52
  5. Step 5: Solve for x
    x = 604,536,232,715.52/357,697.41
  6. Step 6: Final answer
    x = 1,690,077.21

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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.