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Finding the Third Proportional to 53,437 and 83,390.50

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Solution

The third proportional to 53,437 and 83,390.50 is: 130,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,437 : 83,390.50 = 83,390.50 : x
  2. Step 2: Convert to fraction form
    53,437/83,390.50 = 83,390.50/x
  3. Step 3: Cross multiply
    53,437x = 83,390.50 × 83,390.50
  4. Step 4: Simplify right side
    53,437x = 6,953,975,490.25
  5. Step 5: Solve for x
    x = 6,953,975,490.25/53,437
  6. Step 6: Final answer
    x = 130,134.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.