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Finding the Third Proportional to 647,543 and 971,313

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Solution

The third proportional to 647,543 and 971,313 is: 1,456,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,543 : 971,313 = 971,313 : x
  2. Step 2: Convert to fraction form
    647,543/971,313 = 971,313/x
  3. Step 3: Cross multiply
    647,543x = 971,313 × 971,313
  4. Step 4: Simplify right side
    647,543x = 943,448,943,969
  5. Step 5: Solve for x
    x = 943,448,943,969/647,543
  6. Step 6: Final answer
    x = 1,456,967.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.