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Finding the Third Proportional to 409,506 and 619,989

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Solution

The third proportional to 409,506 and 619,989 is: 938,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,506 : 619,989 = 619,989 : x
  2. Step 2: Convert to fraction form
    409,506/619,989 = 619,989/x
  3. Step 3: Cross multiply
    409,506x = 619,989 × 619,989
  4. Step 4: Simplify right side
    409,506x = 384,386,360,121
  5. Step 5: Solve for x
    x = 384,386,360,121/409,506
  6. Step 6: Final answer
    x = 938,658.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.