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Finding the Third Proportional to 572,178 and 840,750

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Solution

The third proportional to 572,178 and 840,750 is: 1,235,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,178 : 840,750 = 840,750 : x
  2. Step 2: Convert to fraction form
    572,178/840,750 = 840,750/x
  3. Step 3: Cross multiply
    572,178x = 840,750 × 840,750
  4. Step 4: Simplify right side
    572,178x = 706,860,562,500
  5. Step 5: Solve for x
    x = 706,860,562,500/572,178
  6. Step 6: Final answer
    x = 1,235,385.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.