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Finding the Third Proportional to 145,402 and 313,717

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Solution

The third proportional to 145,402 and 313,717 is: 676,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,402 : 313,717 = 313,717 : x
  2. Step 2: Convert to fraction form
    145,402/313,717 = 313,717/x
  3. Step 3: Cross multiply
    145,402x = 313,717 × 313,717
  4. Step 4: Simplify right side
    145,402x = 98,418,356,089
  5. Step 5: Solve for x
    x = 98,418,356,089/145,402
  6. Step 6: Final answer
    x = 676,870.72

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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.