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Finding the Third Proportional to 143,220 and 310,038

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Solution

The third proportional to 143,220 and 310,038 is: 671,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,220 : 310,038 = 310,038 : x
  2. Step 2: Convert to fraction form
    143,220/310,038 = 310,038/x
  3. Step 3: Cross multiply
    143,220x = 310,038 × 310,038
  4. Step 4: Simplify right side
    143,220x = 96,123,561,444
  5. Step 5: Solve for x
    x = 96,123,561,444/143,220
  6. Step 6: Final answer
    x = 671,160.18

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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.