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Finding the Third Proportional to 63,130 and 139,382

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Solution

The third proportional to 63,130 and 139,382 is: 307,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,130 : 139,382 = 139,382 : x
  2. Step 2: Convert to fraction form
    63,130/139,382 = 139,382/x
  3. Step 3: Cross multiply
    63,130x = 139,382 × 139,382
  4. Step 4: Simplify right side
    63,130x = 19,427,341,924
  5. Step 5: Solve for x
    x = 19,427,341,924/63,130
  6. Step 6: Final answer
    x = 307,735.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.