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Finding the Third Proportional to 432,318 and 690,637.50

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Solution

The third proportional to 432,318 and 690,637.50 is: 1,103,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,318 : 690,637.50 = 690,637.50 : x
  2. Step 2: Convert to fraction form
    432,318/690,637.50 = 690,637.50/x
  3. Step 3: Cross multiply
    432,318x = 690,637.50 × 690,637.50
  4. Step 4: Simplify right side
    432,318x = 476,980,156,406.25
  5. Step 5: Solve for x
    x = 476,980,156,406.25/432,318
  6. Step 6: Final answer
    x = 1,103,308.57

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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.