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Finding the Third Proportional to 690,507 and 1,506,474

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Solution

The third proportional to 690,507 and 1,506,474 is: 3,286,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,507 : 1,506,474 = 1,506,474 : x
  2. Step 2: Convert to fraction form
    690,507/1,506,474 = 1,506,474/x
  3. Step 3: Cross multiply
    690,507x = 1,506,474 × 1,506,474
  4. Step 4: Simplify right side
    690,507x = 2,269,463,912,676
  5. Step 5: Solve for x
    x = 2,269,463,912,676/690,507
  6. Step 6: Final answer
    x = 3,286,663.15

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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.