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Finding the Third Proportional to 30,459.80 and 45,437.20

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Solution

The third proportional to 30,459.80 and 45,437.20 is: 67,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.80 : 45,437.20 = 45,437.20 : x
  2. Step 2: Convert to fraction form
    30,459.80/45,437.20 = 45,437.20/x
  3. Step 3: Cross multiply
    30,459.80x = 45,437.20 × 45,437.20
  4. Step 4: Simplify right side
    30,459.80x = 2,064,539,427.82
  5. Step 5: Solve for x
    x = 2,064,539,427.82/30,459.80
  6. Step 6: Final answer
    x = 67,779.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.