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Finding the Third Proportional to 13,129,491 and 21,095,437.50

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Solution

The third proportional to 13,129,491 and 21,095,437.50 is: 33,894,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129,491 : 21,095,437.50 = 21,095,437.50 : x
  2. Step 2: Convert to fraction form
    13,129,491/21,095,437.50 = 21,095,437.50/x
  3. Step 3: Cross multiply
    13,129,491x = 21,095,437.50 × 21,095,437.50
  4. Step 4: Simplify right side
    13,129,491x = 445,017,483,316,406.25
  5. Step 5: Solve for x
    x = 445,017,483,316,406.25/13,129,491
  6. Step 6: Final answer
    x = 33,894,496.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.