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Finding the Third Proportional to 13,533,602.25 and 31,937,927.53

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Solution

The third proportional to 13,533,602.25 and 31,937,927.53 is: 75,370,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533,602.25 : 31,937,927.53 = 31,937,927.53 : x
  2. Step 2: Convert to fraction form
    13,533,602.25/31,937,927.53 = 31,937,927.53/x
  3. Step 3: Cross multiply
    13,533,602.25x = 31,937,927.53 × 31,937,927.53
  4. Step 4: Simplify right side
    13,533,602.25x = 1,020,031,214,991,376.75
  5. Step 5: Solve for x
    x = 1,020,031,214,991,376.75/13,533,602.25
  6. Step 6: Final answer
    x = 75,370,267.00

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.