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Finding the Third Proportional to 106,620,377 and 163,810,426.50

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Solution

The third proportional to 106,620,377 and 163,810,426.50 is: 251,676,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,620,377 : 163,810,426.50 = 163,810,426.50 : x
  2. Step 2: Convert to fraction form
    106,620,377/163,810,426.50 = 163,810,426.50/x
  3. Step 3: Cross multiply
    106,620,377x = 163,810,426.50 × 163,810,426.50
  4. Step 4: Simplify right side
    106,620,377x = 26,833,855,830,111,904
  5. Step 5: Solve for x
    x = 26,833,855,830,111,904/106,620,377
  6. Step 6: Final answer
    x = 251,676,617.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.