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Finding the Third Proportional to 340,372 and 565,316

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Solution

The third proportional to 340,372 and 565,316 is: 938,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,372 : 565,316 = 565,316 : x
  2. Step 2: Convert to fraction form
    340,372/565,316 = 565,316/x
  3. Step 3: Cross multiply
    340,372x = 565,316 × 565,316
  4. Step 4: Simplify right side
    340,372x = 319,582,179,856
  5. Step 5: Solve for x
    x = 319,582,179,856/340,372
  6. Step 6: Final answer
    x = 938,920.30

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.