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Finding the Third Proportional to 157,070 and 348,970

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Solution

The third proportional to 157,070 and 348,970 is: 775,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,070 : 348,970 = 348,970 : x
  2. Step 2: Convert to fraction form
    157,070/348,970 = 348,970/x
  3. Step 3: Cross multiply
    157,070x = 348,970 × 348,970
  4. Step 4: Simplify right side
    157,070x = 121,780,060,900
  5. Step 5: Solve for x
    x = 121,780,060,900/157,070
  6. Step 6: Final answer
    x = 775,323.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.