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Finding the Third Proportional to 777,681 and 1,617,440

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Solution

The third proportional to 777,681 and 1,617,440 is: 3,363,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,681 : 1,617,440 = 1,617,440 : x
  2. Step 2: Convert to fraction form
    777,681/1,617,440 = 1,617,440/x
  3. Step 3: Cross multiply
    777,681x = 1,617,440 × 1,617,440
  4. Step 4: Simplify right side
    777,681x = 2,616,112,153,600
  5. Step 5: Solve for x
    x = 2,616,112,153,600/777,681
  6. Step 6: Final answer
    x = 3,363,991.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.