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Finding the Third Proportional to 515,335 and 742,245

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Solution

The third proportional to 515,335 and 742,245 is: 1,069,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,335 : 742,245 = 742,245 : x
  2. Step 2: Convert to fraction form
    515,335/742,245 = 742,245/x
  3. Step 3: Cross multiply
    515,335x = 742,245 × 742,245
  4. Step 4: Simplify right side
    515,335x = 550,927,640,025
  5. Step 5: Solve for x
    x = 550,927,640,025/515,335
  6. Step 6: Final answer
    x = 1,069,067.00

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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.