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Finding the Third Proportional to 68,309,946 and 105,657,015

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Solution

The third proportional to 68,309,946 and 105,657,015 is: 163,422,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,309,946 : 105,657,015 = 105,657,015 : x
  2. Step 2: Convert to fraction form
    68,309,946/105,657,015 = 105,657,015/x
  3. Step 3: Cross multiply
    68,309,946x = 105,657,015 × 105,657,015
  4. Step 4: Simplify right side
    68,309,946x = 11,163,404,818,710,224
  5. Step 5: Solve for x
    x = 11,163,404,818,710,224/68,309,946
  6. Step 6: Final answer
    x = 163,422,831.85

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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.