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Finding the Third Proportional to 571,718 and 840,459

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Solution

The third proportional to 571,718 and 840,459 is: 1,235,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,718 : 840,459 = 840,459 : x
  2. Step 2: Convert to fraction form
    571,718/840,459 = 840,459/x
  3. Step 3: Cross multiply
    571,718x = 840,459 × 840,459
  4. Step 4: Simplify right side
    571,718x = 706,371,330,681
  5. Step 5: Solve for x
    x = 706,371,330,681/571,718
  6. Step 6: Final answer
    x = 1,235,524.04

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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.