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Finding the Third Proportional to 143,745,622.50 and 312,676,955.25

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Solution

The third proportional to 143,745,622.50 and 312,676,955.25 is: 680,138,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,745,622.50 : 312,676,955.25 = 312,676,955.25 : x
  2. Step 2: Convert to fraction form
    143,745,622.50/312,676,955.25 = 312,676,955.25/x
  3. Step 3: Cross multiply
    143,745,622.50x = 312,676,955.25 × 312,676,955.25
  4. Step 4: Simplify right side
    143,745,622.50x = 97,766,878,344,410,496
  5. Step 5: Solve for x
    x = 97,766,878,344,410,496/143,745,622.50
  6. Step 6: Final answer
    x = 680,138,126.25

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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.