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Finding the Third Proportional to 32,767,102.13 and 70,640,983.13

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Solution

The third proportional to 32,767,102.13 and 70,640,983.13 is: 152,291,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767,102.13 : 70,640,983.13 = 70,640,983.13 : x
  2. Step 2: Convert to fraction form
    32,767,102.13/70,640,983.13 = 70,640,983.13/x
  3. Step 3: Cross multiply
    32,767,102.13x = 70,640,983.13 × 70,640,983.13
  4. Step 4: Simplify right side
    32,767,102.13x = 4,990,148,496,866,535
  5. Step 5: Solve for x
    x = 4,990,148,496,866,535/32,767,102.13
  6. Step 6: Final answer
    x = 152,291,419.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.