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Finding the Third Proportional to 145,600 and 316,840

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Solution

The third proportional to 145,600 and 316,840 is: 689,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,600 : 316,840 = 316,840 : x
  2. Step 2: Convert to fraction form
    145,600/316,840 = 316,840/x
  3. Step 3: Cross multiply
    145,600x = 316,840 × 316,840
  4. Step 4: Simplify right side
    145,600x = 100,387,585,600
  5. Step 5: Solve for x
    x = 100,387,585,600/145,600
  6. Step 6: Final answer
    x = 689,475.18

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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.