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Finding the Third Proportional to 143,712 and 312,291

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Solution

The third proportional to 143,712 and 312,291 is: 678,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,712 : 312,291 = 312,291 : x
  2. Step 2: Convert to fraction form
    143,712/312,291 = 312,291/x
  3. Step 3: Cross multiply
    143,712x = 312,291 × 312,291
  4. Step 4: Simplify right side
    143,712x = 97,525,668,681
  5. Step 5: Solve for x
    x = 97,525,668,681/143,712
  6. Step 6: Final answer
    x = 678,618.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.