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Finding the Third Proportional to 145,717 and 314,392

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Solution

The third proportional to 145,717 and 314,392 is: 678,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,717 : 314,392 = 314,392 : x
  2. Step 2: Convert to fraction form
    145,717/314,392 = 314,392/x
  3. Step 3: Cross multiply
    145,717x = 314,392 × 314,392
  4. Step 4: Simplify right side
    145,717x = 98,842,329,664
  5. Step 5: Solve for x
    x = 98,842,329,664/145,717
  6. Step 6: Final answer
    x = 678,317.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.