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Finding the Third Proportional to 643,566 and 846,289

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Solution

The third proportional to 643,566 and 846,289 is: 1,112,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,566 : 846,289 = 846,289 : x
  2. Step 2: Convert to fraction form
    643,566/846,289 = 846,289/x
  3. Step 3: Cross multiply
    643,566x = 846,289 × 846,289
  4. Step 4: Simplify right side
    643,566x = 716,205,071,521
  5. Step 5: Solve for x
    x = 716,205,071,521/643,566
  6. Step 6: Final answer
    x = 1,112,869.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.