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Finding the Third Proportional to 318,423 and 432,676.50

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Solution

The third proportional to 318,423 and 432,676.50 is: 587,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,423 : 432,676.50 = 432,676.50 : x
  2. Step 2: Convert to fraction form
    318,423/432,676.50 = 432,676.50/x
  3. Step 3: Cross multiply
    318,423x = 432,676.50 × 432,676.50
  4. Step 4: Simplify right side
    318,423x = 187,208,953,652.25
  5. Step 5: Solve for x
    x = 187,208,953,652.25/318,423
  6. Step 6: Final answer
    x = 587,925.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.