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Finding the Third Proportional to 64,413 and 130,646.25

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Solution

The third proportional to 64,413 and 130,646.25 is: 264,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,413 : 130,646.25 = 130,646.25 : x
  2. Step 2: Convert to fraction form
    64,413/130,646.25 = 130,646.25/x
  3. Step 3: Cross multiply
    64,413x = 130,646.25 × 130,646.25
  4. Step 4: Simplify right side
    64,413x = 17,068,442,639.06
  5. Step 5: Solve for x
    x = 17,068,442,639.06/64,413
  6. Step 6: Final answer
    x = 264,984.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.