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Finding the Third Proportional to 145,988 and 320,712

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Solution

The third proportional to 145,988 and 320,712 is: 704,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,988 : 320,712 = 320,712 : x
  2. Step 2: Convert to fraction form
    145,988/320,712 = 320,712/x
  3. Step 3: Cross multiply
    145,988x = 320,712 × 320,712
  4. Step 4: Simplify right side
    145,988x = 102,856,186,944
  5. Step 5: Solve for x
    x = 102,856,186,944/145,988
  6. Step 6: Final answer
    x = 704,552.34

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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.