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Finding the Third Proportional to 100,303,875 and 138,597,169

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Solution

The third proportional to 100,303,875 and 138,597,169 is: 191,509,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303,875 : 138,597,169 = 138,597,169 : x
  2. Step 2: Convert to fraction form
    100,303,875/138,597,169 = 138,597,169/x
  3. Step 3: Cross multiply
    100,303,875x = 138,597,169 × 138,597,169
  4. Step 4: Simplify right side
    100,303,875x = 19,209,175,254,814,560
  5. Step 5: Solve for x
    x = 19,209,175,254,814,560/100,303,875
  6. Step 6: Final answer
    x = 191,509,802.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.