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Finding the Third Proportional to 59,685 and 128,709

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Solution

The third proportional to 59,685 and 128,709 is: 277,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,685 : 128,709 = 128,709 : x
  2. Step 2: Convert to fraction form
    59,685/128,709 = 128,709/x
  3. Step 3: Cross multiply
    59,685x = 128,709 × 128,709
  4. Step 4: Simplify right side
    59,685x = 16,566,006,681
  5. Step 5: Solve for x
    x = 16,566,006,681/59,685
  6. Step 6: Final answer
    x = 277,557.29

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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.