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Finding the Third Proportional to 13,931,590 and 21,518,489

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Solution

The third proportional to 13,931,590 and 21,518,489 is: 33,237,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931,590 : 21,518,489 = 21,518,489 : x
  2. Step 2: Convert to fraction form
    13,931,590/21,518,489 = 21,518,489/x
  3. Step 3: Cross multiply
    13,931,590x = 21,518,489 × 21,518,489
  4. Step 4: Simplify right side
    13,931,590x = 463,045,368,843,121
  5. Step 5: Solve for x
    x = 463,045,368,843,121/13,931,590
  6. Step 6: Final answer
    x = 33,237,079.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.