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Finding the Third Proportional to 560,158 and 840,646

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Solution

The third proportional to 560,158 and 840,646 is: 1,261,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,158 : 840,646 = 840,646 : x
  2. Step 2: Convert to fraction form
    560,158/840,646 = 840,646/x
  3. Step 3: Cross multiply
    560,158x = 840,646 × 840,646
  4. Step 4: Simplify right side
    560,158x = 706,685,697,316
  5. Step 5: Solve for x
    x = 706,685,697,316/560,158
  6. Step 6: Final answer
    x = 1,261,582.80

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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.