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Finding the Third Proportional to 430,234 and 668,355

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Solution

The third proportional to 430,234 and 668,355 is: 1,038,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,234 : 668,355 = 668,355 : x
  2. Step 2: Convert to fraction form
    430,234/668,355 = 668,355/x
  3. Step 3: Cross multiply
    430,234x = 668,355 × 668,355
  4. Step 4: Simplify right side
    430,234x = 446,698,406,025
  5. Step 5: Solve for x
    x = 446,698,406,025/430,234
  6. Step 6: Final answer
    x = 1,038,268.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.