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Finding the Third Proportional to 234,456 and 513,840

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Solution

The third proportional to 234,456 and 513,840 is: 1,126,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,456 : 513,840 = 513,840 : x
  2. Step 2: Convert to fraction form
    234,456/513,840 = 513,840/x
  3. Step 3: Cross multiply
    234,456x = 513,840 × 513,840
  4. Step 4: Simplify right side
    234,456x = 264,031,545,600
  5. Step 5: Solve for x
    x = 264,031,545,600/234,456
  6. Step 6: Final answer
    x = 1,126,145.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.