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Finding the Third Proportional to 145,920 and 312,576

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Solution

The third proportional to 145,920 and 312,576 is: 669,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,920 : 312,576 = 312,576 : x
  2. Step 2: Convert to fraction form
    145,920/312,576 = 312,576/x
  3. Step 3: Cross multiply
    145,920x = 312,576 × 312,576
  4. Step 4: Simplify right side
    145,920x = 97,703,755,776
  5. Step 5: Solve for x
    x = 97,703,755,776/145,920
  6. Step 6: Final answer
    x = 669,570.69

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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.