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Finding the Third Proportional to 560,155 and 840,642

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Solution

The third proportional to 560,155 and 840,642 is: 1,261,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,155 : 840,642 = 840,642 : x
  2. Step 2: Convert to fraction form
    560,155/840,642 = 840,642/x
  3. Step 3: Cross multiply
    560,155x = 840,642 × 840,642
  4. Step 4: Simplify right side
    560,155x = 706,678,972,164
  5. Step 5: Solve for x
    x = 706,678,972,164/560,155
  6. Step 6: Final answer
    x = 1,261,577.55

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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.