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Finding the Third Proportional to 143,460 and 210,582

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Solution

The third proportional to 143,460 and 210,582 is: 309,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,460 : 210,582 = 210,582 : x
  2. Step 2: Convert to fraction form
    143,460/210,582 = 210,582/x
  3. Step 3: Cross multiply
    143,460x = 210,582 × 210,582
  4. Step 4: Simplify right side
    143,460x = 44,344,778,724
  5. Step 5: Solve for x
    x = 44,344,778,724/143,460
  6. Step 6: Final answer
    x = 309,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.