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Finding the Third Proportional to 84,906,796 and 128,070,402

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Solution

The third proportional to 84,906,796 and 128,070,402 is: 193,176,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,906,796 : 128,070,402 = 128,070,402 : x
  2. Step 2: Convert to fraction form
    84,906,796/128,070,402 = 128,070,402/x
  3. Step 3: Cross multiply
    84,906,796x = 128,070,402 × 128,070,402
  4. Step 4: Simplify right side
    84,906,796x = 16,402,027,868,441,604
  5. Step 5: Solve for x
    x = 16,402,027,868,441,604/84,906,796
  6. Step 6: Final answer
    x = 193,176,855.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.