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Finding the Third Proportional to 161,572 and 349,640

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Solution

The third proportional to 161,572 and 349,640 is: 756,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572 : 349,640 = 349,640 : x
  2. Step 2: Convert to fraction form
    161,572/349,640 = 349,640/x
  3. Step 3: Cross multiply
    161,572x = 349,640 × 349,640
  4. Step 4: Simplify right side
    161,572x = 122,248,129,600
  5. Step 5: Solve for x
    x = 122,248,129,600/161,572
  6. Step 6: Final answer
    x = 756,617.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.