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Finding the Third Proportional to 63,465 and 139,386.75

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Solution

The third proportional to 63,465 and 139,386.75 is: 306,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,465 : 139,386.75 = 139,386.75 : x
  2. Step 2: Convert to fraction form
    63,465/139,386.75 = 139,386.75/x
  3. Step 3: Cross multiply
    63,465x = 139,386.75 × 139,386.75
  4. Step 4: Simplify right side
    63,465x = 19,428,666,075.56
  5. Step 5: Solve for x
    x = 19,428,666,075.56/63,465
  6. Step 6: Final answer
    x = 306,131.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.