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Finding the Third Proportional to 145,943 and 316,796

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Solution

The third proportional to 145,943 and 316,796 is: 687,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,943 : 316,796 = 316,796 : x
  2. Step 2: Convert to fraction form
    145,943/316,796 = 316,796/x
  3. Step 3: Cross multiply
    145,943x = 316,796 × 316,796
  4. Step 4: Simplify right side
    145,943x = 100,359,705,616
  5. Step 5: Solve for x
    x = 100,359,705,616/145,943
  6. Step 6: Final answer
    x = 687,663.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.