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Finding the Third Proportional to 149,312 and 312,455

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Solution

The third proportional to 149,312 and 312,455 is: 653,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,312 : 312,455 = 312,455 : x
  2. Step 2: Convert to fraction form
    149,312/312,455 = 312,455/x
  3. Step 3: Cross multiply
    149,312x = 312,455 × 312,455
  4. Step 4: Simplify right side
    149,312x = 97,628,127,025
  5. Step 5: Solve for x
    x = 97,628,127,025/149,312
  6. Step 6: Final answer
    x = 653,853.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.