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Finding the Third Proportional to 485,770 and 735,432

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Solution

The third proportional to 485,770 and 735,432 is: 1,113,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,770 : 735,432 = 735,432 : x
  2. Step 2: Convert to fraction form
    485,770/735,432 = 735,432/x
  3. Step 3: Cross multiply
    485,770x = 735,432 × 735,432
  4. Step 4: Simplify right side
    485,770x = 540,860,226,624
  5. Step 5: Solve for x
    x = 540,860,226,624/485,770
  6. Step 6: Final answer
    x = 1,113,408.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.