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Finding the Third Proportional to 571,563 and 840,240

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Solution

The third proportional to 571,563 and 840,240 is: 1,235,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,563 : 840,240 = 840,240 : x
  2. Step 2: Convert to fraction form
    571,563/840,240 = 840,240/x
  3. Step 3: Cross multiply
    571,563x = 840,240 × 840,240
  4. Step 4: Simplify right side
    571,563x = 706,003,257,600
  5. Step 5: Solve for x
    x = 706,003,257,600/571,563
  6. Step 6: Final answer
    x = 1,235,215.12

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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.