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Finding the Third Proportional to 261,316.13 and 279,784.13

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Solution

The third proportional to 261,316.13 and 279,784.13 is: 299,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,316.13 : 279,784.13 = 279,784.13 : x
  2. Step 2: Convert to fraction form
    261,316.13/279,784.13 = 279,784.13/x
  3. Step 3: Cross multiply
    261,316.13x = 279,784.13 × 279,784.13
  4. Step 4: Simplify right side
    261,316.13x = 78,279,156,602.02
  5. Step 5: Solve for x
    x = 78,279,156,602.02/261,316.13
  6. Step 6: Final answer
    x = 299,557.31

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.