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Finding the Third Proportional to 296,955.75 and 647,511

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Solution

The third proportional to 296,955.75 and 647,511 is: 1,411,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,955.75 : 647,511 = 647,511 : x
  2. Step 2: Convert to fraction form
    296,955.75/647,511 = 647,511/x
  3. Step 3: Cross multiply
    296,955.75x = 647,511 × 647,511
  4. Step 4: Simplify right side
    296,955.75x = 419,270,495,121
  5. Step 5: Solve for x
    x = 419,270,495,121/296,955.75
  6. Step 6: Final answer
    x = 1,411,895.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.