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Finding the Third Proportional to 5,136,478 and 7,964,409

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Solution

The third proportional to 5,136,478 and 7,964,409 is: 12,349,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136,478 : 7,964,409 = 7,964,409 : x
  2. Step 2: Convert to fraction form
    5,136,478/7,964,409 = 7,964,409/x
  3. Step 3: Cross multiply
    5,136,478x = 7,964,409 × 7,964,409
  4. Step 4: Simplify right side
    5,136,478x = 63,431,810,719,281
  5. Step 5: Solve for x
    x = 63,431,810,719,281/5,136,478
  6. Step 6: Final answer
    x = 12,349,281.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.