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Finding the Third Proportional to 263,368 and 424,140

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Solution

The third proportional to 263,368 and 424,140 is: 683,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,368 : 424,140 = 424,140 : x
  2. Step 2: Convert to fraction form
    263,368/424,140 = 424,140/x
  3. Step 3: Cross multiply
    263,368x = 424,140 × 424,140
  4. Step 4: Simplify right side
    263,368x = 179,894,739,600
  5. Step 5: Solve for x
    x = 179,894,739,600/263,368
  6. Step 6: Final answer
    x = 683,054.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.