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Finding the Third Proportional to 321,840 and 510,352

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Solution

The third proportional to 321,840 and 510,352 is: 809,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,840 : 510,352 = 510,352 : x
  2. Step 2: Convert to fraction form
    321,840/510,352 = 510,352/x
  3. Step 3: Cross multiply
    321,840x = 510,352 × 510,352
  4. Step 4: Simplify right side
    321,840x = 260,459,163,904
  5. Step 5: Solve for x
    x = 260,459,163,904/321,840
  6. Step 6: Final answer
    x = 809,281.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.