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Finding the Third Proportional to 349,056 and 512,495

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Solution

The third proportional to 349,056 and 512,495 is: 752,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,056 : 512,495 = 512,495 : x
  2. Step 2: Convert to fraction form
    349,056/512,495 = 512,495/x
  3. Step 3: Cross multiply
    349,056x = 512,495 × 512,495
  4. Step 4: Simplify right side
    349,056x = 262,651,125,025
  5. Step 5: Solve for x
    x = 262,651,125,025/349,056
  6. Step 6: Final answer
    x = 752,461.28

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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.