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Finding the Third Proportional to 175,730 and 272,343

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Solution

The third proportional to 175,730 and 272,343 is: 422,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,730 : 272,343 = 272,343 : x
  2. Step 2: Convert to fraction form
    175,730/272,343 = 272,343/x
  3. Step 3: Cross multiply
    175,730x = 272,343 × 272,343
  4. Step 4: Simplify right side
    175,730x = 74,170,709,649
  5. Step 5: Solve for x
    x = 74,170,709,649/175,730
  6. Step 6: Final answer
    x = 422,071.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.