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Finding the Third Proportional to 331,557 and 709,650

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Solution

The third proportional to 331,557 and 709,650 is: 1,518,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,557 : 709,650 = 709,650 : x
  2. Step 2: Convert to fraction form
    331,557/709,650 = 709,650/x
  3. Step 3: Cross multiply
    331,557x = 709,650 × 709,650
  4. Step 4: Simplify right side
    331,557x = 503,603,122,500
  5. Step 5: Solve for x
    x = 503,603,122,500/331,557
  6. Step 6: Final answer
    x = 1,518,903.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.