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Finding the Third Proportional to 265,280 and 411,368

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Solution

The third proportional to 265,280 and 411,368 is: 637,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,280 : 411,368 = 411,368 : x
  2. Step 2: Convert to fraction form
    265,280/411,368 = 411,368/x
  3. Step 3: Cross multiply
    265,280x = 411,368 × 411,368
  4. Step 4: Simplify right side
    265,280x = 169,223,631,424
  5. Step 5: Solve for x
    x = 169,223,631,424/265,280
  6. Step 6: Final answer
    x = 637,905.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.