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Finding the Third Proportional to 484,516 and 678,952

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Solution

The third proportional to 484,516 and 678,952 is: 951,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,516 : 678,952 = 678,952 : x
  2. Step 2: Convert to fraction form
    484,516/678,952 = 678,952/x
  3. Step 3: Cross multiply
    484,516x = 678,952 × 678,952
  4. Step 4: Simplify right side
    484,516x = 460,975,818,304
  5. Step 5: Solve for x
    x = 460,975,818,304/484,516
  6. Step 6: Final answer
    x = 951,415.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.