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Finding the Third Proportional to 310,974 and 653,283

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Solution

The third proportional to 310,974 and 653,283 is: 1,372,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,974 : 653,283 = 653,283 : x
  2. Step 2: Convert to fraction form
    310,974/653,283 = 653,283/x
  3. Step 3: Cross multiply
    310,974x = 653,283 × 653,283
  4. Step 4: Simplify right side
    310,974x = 426,778,678,089
  5. Step 5: Solve for x
    x = 426,778,678,089/310,974
  6. Step 6: Final answer
    x = 1,372,393.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.