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Finding the Third Proportional to 141,423 and 310,059

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Solution

The third proportional to 141,423 and 310,059 is: 679,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,423 : 310,059 = 310,059 : x
  2. Step 2: Convert to fraction form
    141,423/310,059 = 310,059/x
  3. Step 3: Cross multiply
    141,423x = 310,059 × 310,059
  4. Step 4: Simplify right side
    141,423x = 96,136,583,481
  5. Step 5: Solve for x
    x = 96,136,583,481/141,423
  6. Step 6: Final answer
    x = 679,780.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.