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Finding the Third Proportional to 145,152 and 309,987

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Solution

The third proportional to 145,152 and 309,987 is: 662,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152 : 309,987 = 309,987 : x
  2. Step 2: Convert to fraction form
    145,152/309,987 = 309,987/x
  3. Step 3: Cross multiply
    145,152x = 309,987 × 309,987
  4. Step 4: Simplify right side
    145,152x = 96,091,940,169
  5. Step 5: Solve for x
    x = 96,091,940,169/145,152
  6. Step 6: Final answer
    x = 662,009.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.