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Finding the Third Proportional to 145,609 and 311,459

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Solution

The third proportional to 145,609 and 311,459 is: 666,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,609 : 311,459 = 311,459 : x
  2. Step 2: Convert to fraction form
    145,609/311,459 = 311,459/x
  3. Step 3: Cross multiply
    145,609x = 311,459 × 311,459
  4. Step 4: Simplify right side
    145,609x = 97,006,708,681
  5. Step 5: Solve for x
    x = 97,006,708,681/145,609
  6. Step 6: Final answer
    x = 666,213.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.