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Finding the Third Proportional to 663,988 and 1,440,566

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Solution

The third proportional to 663,988 and 1,440,566 is: 3,125,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,988 : 1,440,566 = 1,440,566 : x
  2. Step 2: Convert to fraction form
    663,988/1,440,566 = 1,440,566/x
  3. Step 3: Cross multiply
    663,988x = 1,440,566 × 1,440,566
  4. Step 4: Simplify right side
    663,988x = 2,075,230,400,356
  5. Step 5: Solve for x
    x = 2,075,230,400,356/663,988
  6. Step 6: Final answer
    x = 3,125,403.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.