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Finding the Third Proportional to 385,899.19 and 565,009.17

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Solution

The third proportional to 385,899.19 and 565,009.17 is: 827,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,899.19 : 565,009.17 = 565,009.17 : x
  2. Step 2: Convert to fraction form
    385,899.19/565,009.17 = 565,009.17/x
  3. Step 3: Cross multiply
    385,899.19x = 565,009.17 × 565,009.17
  4. Step 4: Simplify right side
    385,899.19x = 319,235,364,302.87
  5. Step 5: Solve for x
    x = 319,235,364,302.87/385,899.19
  6. Step 6: Final answer
    x = 827,250.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.