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Finding the Third Proportional to 510,421.50 and 753,957

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Solution

The third proportional to 510,421.50 and 753,957 is: 1,113,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,421.50 : 753,957 = 753,957 : x
  2. Step 2: Convert to fraction form
    510,421.50/753,957 = 753,957/x
  3. Step 3: Cross multiply
    510,421.50x = 753,957 × 753,957
  4. Step 4: Simplify right side
    510,421.50x = 568,451,157,849
  5. Step 5: Solve for x
    x = 568,451,157,849/510,421.50
  6. Step 6: Final answer
    x = 1,113,689.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.