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Finding the Third Proportional to 385,440 and 565,562

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Solution

The third proportional to 385,440 and 565,562 is: 829,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,440 : 565,562 = 565,562 : x
  2. Step 2: Convert to fraction form
    385,440/565,562 = 565,562/x
  3. Step 3: Cross multiply
    385,440x = 565,562 × 565,562
  4. Step 4: Simplify right side
    385,440x = 319,860,375,844
  5. Step 5: Solve for x
    x = 319,860,375,844/385,440
  6. Step 6: Final answer
    x = 829,857.76

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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.