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Finding the Third Proportional to 643,708.90 and 973,849.08

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Solution

The third proportional to 643,708.90 and 973,849.08 is: 1,473,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,708.90 : 973,849.08 = 973,849.08 : x
  2. Step 2: Convert to fraction form
    643,708.90/973,849.08 = 973,849.08/x
  3. Step 3: Cross multiply
    643,708.90x = 973,849.08 × 973,849.08
  4. Step 4: Simplify right side
    643,708.90x = 948,382,026,964.91
  5. Step 5: Solve for x
    x = 948,382,026,964.91/643,708.90
  6. Step 6: Final answer
    x = 1,473,308.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.