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Finding the Third Proportional to 30,390.19 and 47,430.56

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Solution

The third proportional to 30,390.19 and 47,430.56 is: 74,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390.19 : 47,430.56 = 47,430.56 : x
  2. Step 2: Convert to fraction form
    30,390.19/47,430.56 = 47,430.56/x
  3. Step 3: Cross multiply
    30,390.19x = 47,430.56 × 47,430.56
  4. Step 4: Simplify right side
    30,390.19x = 2,249,658,259.07
  5. Step 5: Solve for x
    x = 2,249,658,259.07/30,390.19
  6. Step 6: Final answer
    x = 74,025.81

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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.