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Finding the Third Proportional to 310,894 and 670,828

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Solution

The third proportional to 310,894 and 670,828 is: 1,447,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,894 : 670,828 = 670,828 : x
  2. Step 2: Convert to fraction form
    310,894/670,828 = 670,828/x
  3. Step 3: Cross multiply
    310,894x = 670,828 × 670,828
  4. Step 4: Simplify right side
    310,894x = 450,010,205,584
  5. Step 5: Solve for x
    x = 450,010,205,584/310,894
  6. Step 6: Final answer
    x = 1,447,471.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.