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Finding the Third Proportional to 238,557 and 365,480

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Solution

The third proportional to 238,557 and 365,480 is: 559,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,557 : 365,480 = 365,480 : x
  2. Step 2: Convert to fraction form
    238,557/365,480 = 365,480/x
  3. Step 3: Cross multiply
    238,557x = 365,480 × 365,480
  4. Step 4: Simplify right side
    238,557x = 133,575,630,400
  5. Step 5: Solve for x
    x = 133,575,630,400/238,557
  6. Step 6: Final answer
    x = 559,931.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.