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Finding the Third Proportional to 145,677 and 316,991

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Solution

The third proportional to 145,677 and 316,991 is: 689,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,677 : 316,991 = 316,991 : x
  2. Step 2: Convert to fraction form
    145,677/316,991 = 316,991/x
  3. Step 3: Cross multiply
    145,677x = 316,991 × 316,991
  4. Step 4: Simplify right side
    145,677x = 100,483,294,081
  5. Step 5: Solve for x
    x = 100,483,294,081/145,677
  6. Step 6: Final answer
    x = 689,767.73

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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.