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Finding the Third Proportional to 145,902 and 314,124

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Solution

The third proportional to 145,902 and 314,124 is: 676,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,902 : 314,124 = 314,124 : x
  2. Step 2: Convert to fraction form
    145,902/314,124 = 314,124/x
  3. Step 3: Cross multiply
    145,902x = 314,124 × 314,124
  4. Step 4: Simplify right side
    145,902x = 98,673,887,376
  5. Step 5: Solve for x
    x = 98,673,887,376/145,902
  6. Step 6: Final answer
    x = 676,302.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.