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Finding the Third Proportional to 142,580 and 312,376

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Solution

The third proportional to 142,580 and 312,376 is: 684,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580 : 312,376 = 312,376 : x
  2. Step 2: Convert to fraction form
    142,580/312,376 = 312,376/x
  3. Step 3: Cross multiply
    142,580x = 312,376 × 312,376
  4. Step 4: Simplify right side
    142,580x = 97,578,765,376
  5. Step 5: Solve for x
    x = 97,578,765,376/142,580
  6. Step 6: Final answer
    x = 684,379.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.