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Finding the Third Proportional to 145,278 and 316,288

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Solution

The third proportional to 145,278 and 316,288 is: 688,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,278 : 316,288 = 316,288 : x
  2. Step 2: Convert to fraction form
    145,278/316,288 = 316,288/x
  3. Step 3: Cross multiply
    145,278x = 316,288 × 316,288
  4. Step 4: Simplify right side
    145,278x = 100,038,098,944
  5. Step 5: Solve for x
    x = 100,038,098,944/145,278
  6. Step 6: Final answer
    x = 688,597.72

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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.