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Finding the Third Proportional to 145,273 and 316,278

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Solution

The third proportional to 145,273 and 316,278 is: 688,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,273 : 316,278 = 316,278 : x
  2. Step 2: Convert to fraction form
    145,273/316,278 = 316,278/x
  3. Step 3: Cross multiply
    145,273x = 316,278 × 316,278
  4. Step 4: Simplify right side
    145,273x = 100,031,773,284
  5. Step 5: Solve for x
    x = 100,031,773,284/145,273
  6. Step 6: Final answer
    x = 688,577.87

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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.