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Finding the Third Proportional to 340,416 and 510,840

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Solution

The third proportional to 340,416 and 510,840 is: 766,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,416 : 510,840 = 510,840 : x
  2. Step 2: Convert to fraction form
    340,416/510,840 = 510,840/x
  3. Step 3: Cross multiply
    340,416x = 510,840 × 510,840
  4. Step 4: Simplify right side
    340,416x = 260,957,505,600
  5. Step 5: Solve for x
    x = 260,957,505,600/340,416
  6. Step 6: Final answer
    x = 766,584.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.