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Finding the Third Proportional to 535,910 and 829,430

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Solution

The third proportional to 535,910 and 829,430 is: 1,283,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,910 : 829,430 = 829,430 : x
  2. Step 2: Convert to fraction form
    535,910/829,430 = 829,430/x
  3. Step 3: Cross multiply
    535,910x = 829,430 × 829,430
  4. Step 4: Simplify right side
    535,910x = 687,954,124,900
  5. Step 5: Solve for x
    x = 687,954,124,900/535,910
  6. Step 6: Final answer
    x = 1,283,712.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.