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Finding the Third Proportional to 162,087 and 349,143

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Solution

The third proportional to 162,087 and 349,143 is: 752,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,087 : 349,143 = 349,143 : x
  2. Step 2: Convert to fraction form
    162,087/349,143 = 349,143/x
  3. Step 3: Cross multiply
    162,087x = 349,143 × 349,143
  4. Step 4: Simplify right side
    162,087x = 121,900,834,449
  5. Step 5: Solve for x
    x = 121,900,834,449/162,087
  6. Step 6: Final answer
    x = 752,070.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.