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Finding the Third Proportional to 645,090.75 and 902,475

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Solution

The third proportional to 645,090.75 and 902,475 is: 1,262,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,090.75 : 902,475 = 902,475 : x
  2. Step 2: Convert to fraction form
    645,090.75/902,475 = 902,475/x
  3. Step 3: Cross multiply
    645,090.75x = 902,475 × 902,475
  4. Step 4: Simplify right side
    645,090.75x = 814,461,125,625
  5. Step 5: Solve for x
    x = 814,461,125,625/645,090.75
  6. Step 6: Final answer
    x = 1,262,552.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.