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Finding the Third Proportional to 145,384 and 311,784

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Solution

The third proportional to 145,384 and 311,784 is: 668,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,384 : 311,784 = 311,784 : x
  2. Step 2: Convert to fraction form
    145,384/311,784 = 311,784/x
  3. Step 3: Cross multiply
    145,384x = 311,784 × 311,784
  4. Step 4: Simplify right side
    145,384x = 97,209,262,656
  5. Step 5: Solve for x
    x = 97,209,262,656/145,384
  6. Step 6: Final answer
    x = 668,637.97

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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.