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Finding the Third Proportional to 432,316 and 690,633

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Solution

The third proportional to 432,316 and 690,633 is: 1,103,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,316 : 690,633 = 690,633 : x
  2. Step 2: Convert to fraction form
    432,316/690,633 = 690,633/x
  3. Step 3: Cross multiply
    432,316x = 690,633 × 690,633
  4. Step 4: Simplify right side
    432,316x = 476,973,940,689
  5. Step 5: Solve for x
    x = 476,973,940,689/432,316
  6. Step 6: Final answer
    x = 1,103,299.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.