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Finding the Third Proportional to 52,475,368 and 82,310,910

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Solution

The third proportional to 52,475,368 and 82,310,910 is: 129,109,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475,368 : 82,310,910 = 82,310,910 : x
  2. Step 2: Convert to fraction form
    52,475,368/82,310,910 = 82,310,910/x
  3. Step 3: Cross multiply
    52,475,368x = 82,310,910 × 82,310,910
  4. Step 4: Simplify right side
    52,475,368x = 6,775,085,905,028,100
  5. Step 5: Solve for x
    x = 6,775,085,905,028,100/52,475,368
  6. Step 6: Final answer
    x = 129,109,831.21

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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.