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Finding the Third Proportional to 450,079.88 and 696,686.06

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Solution

The third proportional to 450,079.88 and 696,686.06 is: 1,078,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,079.88 : 696,686.06 = 696,686.06 : x
  2. Step 2: Convert to fraction form
    450,079.88/696,686.06 = 696,686.06/x
  3. Step 3: Cross multiply
    450,079.88x = 696,686.06 × 696,686.06
  4. Step 4: Simplify right side
    450,079.88x = 485,371,469,681.75
  5. Step 5: Solve for x
    x = 485,371,469,681.75/450,079.88
  6. Step 6: Final answer
    x = 1,078,411.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.