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Finding the Third Proportional to 145,522 and 316,956

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Solution

The third proportional to 145,522 and 316,956 is: 690,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,522 : 316,956 = 316,956 : x
  2. Step 2: Convert to fraction form
    145,522/316,956 = 316,956/x
  3. Step 3: Cross multiply
    145,522x = 316,956 × 316,956
  4. Step 4: Simplify right side
    145,522x = 100,461,105,936
  5. Step 5: Solve for x
    x = 100,461,105,936/145,522
  6. Step 6: Final answer
    x = 690,349.95

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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.