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Finding the Third Proportional to 145,347 and 311,709

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Solution

The third proportional to 145,347 and 311,709 is: 668,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,347 : 311,709 = 311,709 : x
  2. Step 2: Convert to fraction form
    145,347/311,709 = 311,709/x
  3. Step 3: Cross multiply
    145,347x = 311,709 × 311,709
  4. Step 4: Simplify right side
    145,347x = 97,162,500,681
  5. Step 5: Solve for x
    x = 97,162,500,681/145,347
  6. Step 6: Final answer
    x = 668,486.45

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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.