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Finding the Third Proportional to 145,275 and 316,282

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Solution

The third proportional to 145,275 and 316,282 is: 688,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,275 : 316,282 = 316,282 : x
  2. Step 2: Convert to fraction form
    145,275/316,282 = 316,282/x
  3. Step 3: Cross multiply
    145,275x = 316,282 × 316,282
  4. Step 4: Simplify right side
    145,275x = 100,034,303,524
  5. Step 5: Solve for x
    x = 100,034,303,524/145,275
  6. Step 6: Final answer
    x = 688,585.81

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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.