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Finding the Third Proportional to 155,970 and 223,044

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Solution

The third proportional to 155,970 and 223,044 is: 318,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,970 : 223,044 = 223,044 : x
  2. Step 2: Convert to fraction form
    155,970/223,044 = 223,044/x
  3. Step 3: Cross multiply
    155,970x = 223,044 × 223,044
  4. Step 4: Simplify right side
    155,970x = 49,748,625,936
  5. Step 5: Solve for x
    x = 49,748,625,936/155,970
  6. Step 6: Final answer
    x = 318,962.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.