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Finding the Third Proportional to 218,776 and 342,726

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Solution

The third proportional to 218,776 and 342,726 is: 536,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,776 : 342,726 = 342,726 : x
  2. Step 2: Convert to fraction form
    218,776/342,726 = 342,726/x
  3. Step 3: Cross multiply
    218,776x = 342,726 × 342,726
  4. Step 4: Simplify right side
    218,776x = 117,461,111,076
  5. Step 5: Solve for x
    x = 117,461,111,076/218,776
  6. Step 6: Final answer
    x = 536,901.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.