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Finding the Third Proportional to 145,265.63 and 316,253.25

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Solution

The third proportional to 145,265.63 and 316,253.25 is: 688,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,265.63 : 316,253.25 = 316,253.25 : x
  2. Step 2: Convert to fraction form
    145,265.63/316,253.25 = 316,253.25/x
  3. Step 3: Cross multiply
    145,265.63x = 316,253.25 × 316,253.25
  4. Step 4: Simplify right side
    145,265.63x = 100,016,118,135.56
  5. Step 5: Solve for x
    x = 100,016,118,135.56/145,265.63
  6. Step 6: Final answer
    x = 688,505.06

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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.