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Finding the Third Proportional to 432,368 and 690,702

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Solution

The third proportional to 432,368 and 690,702 is: 1,103,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,368 : 690,702 = 690,702 : x
  2. Step 2: Convert to fraction form
    432,368/690,702 = 690,702/x
  3. Step 3: Cross multiply
    432,368x = 690,702 × 690,702
  4. Step 4: Simplify right side
    432,368x = 477,069,252,804
  5. Step 5: Solve for x
    x = 477,069,252,804/432,368
  6. Step 6: Final answer
    x = 1,103,387.05

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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.