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Finding the Third Proportional to 145,411 and 317,886

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Solution

The third proportional to 145,411 and 317,886 is: 694,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,411 : 317,886 = 317,886 : x
  2. Step 2: Convert to fraction form
    145,411/317,886 = 317,886/x
  3. Step 3: Cross multiply
    145,411x = 317,886 × 317,886
  4. Step 4: Simplify right side
    145,411x = 101,051,508,996
  5. Step 5: Solve for x
    x = 101,051,508,996/145,411
  6. Step 6: Final answer
    x = 694,937.17

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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.