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Finding the Third Proportional to 647,966.25 and 912,080.25

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Solution

The third proportional to 647,966.25 and 912,080.25 is: 1,283,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,966.25 : 912,080.25 = 912,080.25 : x
  2. Step 2: Convert to fraction form
    647,966.25/912,080.25 = 912,080.25/x
  3. Step 3: Cross multiply
    647,966.25x = 912,080.25 × 912,080.25
  4. Step 4: Simplify right side
    647,966.25x = 831,890,382,440.06
  5. Step 5: Solve for x
    x = 831,890,382,440.06/647,966.25
  6. Step 6: Final answer
    x = 1,283,848.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.