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Finding the Third Proportional to 145,408 and 316,704

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Solution

The third proportional to 145,408 and 316,704 is: 689,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408 : 316,704 = 316,704 : x
  2. Step 2: Convert to fraction form
    145,408/316,704 = 316,704/x
  3. Step 3: Cross multiply
    145,408x = 316,704 × 316,704
  4. Step 4: Simplify right side
    145,408x = 100,301,423,616
  5. Step 5: Solve for x
    x = 100,301,423,616/145,408
  6. Step 6: Final answer
    x = 689,793.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.