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Finding the Third Proportional to 3,281,312 and 5,135,688

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Solution

The third proportional to 3,281,312 and 5,135,688 is: 8,038,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,312 : 5,135,688 = 5,135,688 : x
  2. Step 2: Convert to fraction form
    3,281,312/5,135,688 = 5,135,688/x
  3. Step 3: Cross multiply
    3,281,312x = 5,135,688 × 5,135,688
  4. Step 4: Simplify right side
    3,281,312x = 26,375,291,233,344
  5. Step 5: Solve for x
    x = 26,375,291,233,344/3,281,312
  6. Step 6: Final answer
    x = 8,038,032.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.