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Finding the Third Proportional to 145,705 and 312,146

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Solution

The third proportional to 145,705 and 312,146 is: 668,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,705 : 312,146 = 312,146 : x
  2. Step 2: Convert to fraction form
    145,705/312,146 = 312,146/x
  3. Step 3: Cross multiply
    145,705x = 312,146 × 312,146
  4. Step 4: Simplify right side
    145,705x = 97,435,125,316
  5. Step 5: Solve for x
    x = 97,435,125,316/145,705
  6. Step 6: Final answer
    x = 668,715.04

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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.