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Finding the Third Proportional to 385,436 and 565,556

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Solution

The third proportional to 385,436 and 565,556 is: 829,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,436 : 565,556 = 565,556 : x
  2. Step 2: Convert to fraction form
    385,436/565,556 = 565,556/x
  3. Step 3: Cross multiply
    385,436x = 565,556 × 565,556
  4. Step 4: Simplify right side
    385,436x = 319,853,589,136
  5. Step 5: Solve for x
    x = 319,853,589,136/385,436
  6. Step 6: Final answer
    x = 829,848.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.