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Finding the Third Proportional to 172,691,457 and 375,640,138.50

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Solution

The third proportional to 172,691,457 and 375,640,138.50 is: 817,096,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,691,457 : 375,640,138.50 = 375,640,138.50 : x
  2. Step 2: Convert to fraction form
    172,691,457/375,640,138.50 = 375,640,138.50/x
  3. Step 3: Cross multiply
    172,691,457x = 375,640,138.50 × 375,640,138.50
  4. Step 4: Simplify right side
    172,691,457x = 141,105,513,652,299,184
  5. Step 5: Solve for x
    x = 141,105,513,652,299,184/172,691,457
  6. Step 6: Final answer
    x = 817,096,086.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.