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Finding the Third Proportional to 30,291,391.50 and 66,065,509.50

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Solution

The third proportional to 30,291,391.50 and 66,065,509.50 is: 144,088,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,391.50 : 66,065,509.50 = 66,065,509.50 : x
  2. Step 2: Convert to fraction form
    30,291,391.50/66,065,509.50 = 66,065,509.50/x
  3. Step 3: Cross multiply
    30,291,391.50x = 66,065,509.50 × 66,065,509.50
  4. Step 4: Simplify right side
    30,291,391.50x = 4,364,651,545,494,590
  5. Step 5: Solve for x
    x = 4,364,651,545,494,590/30,291,391.50
  6. Step 6: Final answer
    x = 144,088,842.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.