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Finding the Third Proportional to 46,656,332 and 101,736,986

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Solution

The third proportional to 46,656,332 and 101,736,986 is: 221,843,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656,332 : 101,736,986 = 101,736,986 : x
  2. Step 2: Convert to fraction form
    46,656,332/101,736,986 = 101,736,986/x
  3. Step 3: Cross multiply
    46,656,332x = 101,736,986 × 101,736,986
  4. Step 4: Simplify right side
    46,656,332x = 10,350,414,320,364,196
  5. Step 5: Solve for x
    x = 10,350,414,320,364,196/46,656,332
  6. Step 6: Final answer
    x = 221,843,721.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.