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Finding the Third Proportional to 617,317 and 881,069

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Solution

The third proportional to 617,317 and 881,069 is: 1,257,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,317 : 881,069 = 881,069 : x
  2. Step 2: Convert to fraction form
    617,317/881,069 = 881,069/x
  3. Step 3: Cross multiply
    617,317x = 881,069 × 881,069
  4. Step 4: Simplify right side
    617,317x = 776,282,582,761
  5. Step 5: Solve for x
    x = 776,282,582,761/617,317
  6. Step 6: Final answer
    x = 1,257,510.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.