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Finding the Third Proportional to 690,160 and 1,485,216

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Solution

The third proportional to 690,160 and 1,485,216 is: 3,196,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,160 : 1,485,216 = 1,485,216 : x
  2. Step 2: Convert to fraction form
    690,160/1,485,216 = 1,485,216/x
  3. Step 3: Cross multiply
    690,160x = 1,485,216 × 1,485,216
  4. Step 4: Simplify right side
    690,160x = 2,205,866,566,656
  5. Step 5: Solve for x
    x = 2,205,866,566,656/690,160
  6. Step 6: Final answer
    x = 3,196,166.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.