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Finding the Third Proportional to 61,681.78 and 128,210.34

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Solution

The third proportional to 61,681.78 and 128,210.34 is: 266,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,681.78 : 128,210.34 = 128,210.34 : x
  2. Step 2: Convert to fraction form
    61,681.78/128,210.34 = 128,210.34/x
  3. Step 3: Cross multiply
    61,681.78x = 128,210.34 × 128,210.34
  4. Step 4: Simplify right side
    61,681.78x = 16,437,892,244.49
  5. Step 5: Solve for x
    x = 16,437,892,244.49/61,681.78
  6. Step 6: Final answer
    x = 266,495.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.