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Finding the Third Proportional to 355,502 and 499,989

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Solution

The third proportional to 355,502 and 499,989 is: 703,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,502 : 499,989 = 499,989 : x
  2. Step 2: Convert to fraction form
    355,502/499,989 = 499,989/x
  3. Step 3: Cross multiply
    355,502x = 499,989 × 499,989
  4. Step 4: Simplify right side
    355,502x = 249,989,000,121
  5. Step 5: Solve for x
    x = 249,989,000,121/355,502
  6. Step 6: Final answer
    x = 703,199.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.