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Finding the Third Proportional to 357,000 and 515,844

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Solution

The third proportional to 357,000 and 515,844 is: 745,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,000 : 515,844 = 515,844 : x
  2. Step 2: Convert to fraction form
    357,000/515,844 = 515,844/x
  3. Step 3: Cross multiply
    357,000x = 515,844 × 515,844
  4. Step 4: Simplify right side
    357,000x = 266,095,032,336
  5. Step 5: Solve for x
    x = 266,095,032,336/357,000
  6. Step 6: Final answer
    x = 745,364.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.