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Finding the Third Proportional to 145,455 and 320,070

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Solution

The third proportional to 145,455 and 320,070 is: 704,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,455 : 320,070 = 320,070 : x
  2. Step 2: Convert to fraction form
    145,455/320,070 = 320,070/x
  3. Step 3: Cross multiply
    145,455x = 320,070 × 320,070
  4. Step 4: Simplify right side
    145,455x = 102,444,804,900
  5. Step 5: Solve for x
    x = 102,444,804,900/145,455
  6. Step 6: Final answer
    x = 704,305.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.