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Finding the Third Proportional to 310,263 and 670,038

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Solution

The third proportional to 310,263 and 670,038 is: 1,447,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263 : 670,038 = 670,038 : x
  2. Step 2: Convert to fraction form
    310,263/670,038 = 670,038/x
  3. Step 3: Cross multiply
    310,263x = 670,038 × 670,038
  4. Step 4: Simplify right side
    310,263x = 448,950,921,444
  5. Step 5: Solve for x
    x = 448,950,921,444/310,263
  6. Step 6: Final answer
    x = 1,447,001.16

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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.