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Finding the Third Proportional to 310,602 and 671,982

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Solution

The third proportional to 310,602 and 671,982 is: 1,453,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,602 : 671,982 = 671,982 : x
  2. Step 2: Convert to fraction form
    310,602/671,982 = 671,982/x
  3. Step 3: Cross multiply
    310,602x = 671,982 × 671,982
  4. Step 4: Simplify right side
    310,602x = 451,559,808,324
  5. Step 5: Solve for x
    x = 451,559,808,324/310,602
  6. Step 6: Final answer
    x = 1,453,821.32

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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.