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Finding the Third Proportional to 145,271 and 316,273

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Solution

The third proportional to 145,271 and 316,273 is: 688,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,271 : 316,273 = 316,273 : x
  2. Step 2: Convert to fraction form
    145,271/316,273 = 316,273/x
  3. Step 3: Cross multiply
    145,271x = 316,273 × 316,273
  4. Step 4: Simplify right side
    145,271x = 100,028,610,529
  5. Step 5: Solve for x
    x = 100,028,610,529/145,271
  6. Step 6: Final answer
    x = 688,565.58

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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.