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Finding the Third Proportional to 143,945,340 and 310,827,459

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Solution

The third proportional to 143,945,340 and 310,827,459 is: 671,183,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,945,340 : 310,827,459 = 310,827,459 : x
  2. Step 2: Convert to fraction form
    143,945,340/310,827,459 = 310,827,459/x
  3. Step 3: Cross multiply
    143,945,340x = 310,827,459 × 310,827,459
  4. Step 4: Simplify right side
    143,945,340x = 96,613,709,268,396,688
  5. Step 5: Solve for x
    x = 96,613,709,268,396,688/143,945,340
  6. Step 6: Final answer
    x = 671,183,306.58

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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.