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Finding the Third Proportional to 690,278 and 1,502,000

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Solution

The third proportional to 690,278 and 1,502,000 is: 3,268,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,278 : 1,502,000 = 1,502,000 : x
  2. Step 2: Convert to fraction form
    690,278/1,502,000 = 1,502,000/x
  3. Step 3: Cross multiply
    690,278x = 1,502,000 × 1,502,000
  4. Step 4: Simplify right side
    690,278x = 2,256,004,000,000
  5. Step 5: Solve for x
    x = 2,256,004,000,000/690,278
  6. Step 6: Final answer
    x = 3,268,254.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.