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Finding the Third Proportional to 368,415 and 553,989

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Solution

The third proportional to 368,415 and 553,989 is: 833,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,415 : 553,989 = 553,989 : x
  2. Step 2: Convert to fraction form
    368,415/553,989 = 553,989/x
  3. Step 3: Cross multiply
    368,415x = 553,989 × 553,989
  4. Step 4: Simplify right side
    368,415x = 306,903,812,121
  5. Step 5: Solve for x
    x = 306,903,812,121/368,415
  6. Step 6: Final answer
    x = 833,038.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.