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Finding the Third Proportional to 560,657 and 840,809

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Solution

The third proportional to 560,657 and 840,809 is: 1,260,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,657 : 840,809 = 840,809 : x
  2. Step 2: Convert to fraction form
    560,657/840,809 = 840,809/x
  3. Step 3: Cross multiply
    560,657x = 840,809 × 840,809
  4. Step 4: Simplify right side
    560,657x = 706,959,774,481
  5. Step 5: Solve for x
    x = 706,959,774,481/560,657
  6. Step 6: Final answer
    x = 1,260,948.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.