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Finding the Third Proportional to 94,789,797,506 and 203,845,133,572

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Solution

The third proportional to 94,789,797,506 and 203,845,133,572 is: 438,368,258,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,789,797,506 : 203,845,133,572 = 203,845,133,572 : x
  2. Step 2: Convert to fraction form
    94,789,797,506/203,845,133,572 = 203,845,133,572/x
  3. Step 3: Cross multiply
    94,789,797,506x = 203,845,133,572 × 203,845,133,572
  4. Step 4: Simplify right side
    94,789,797,506x = 41,552,838,480,986,525,138,944
  5. Step 5: Solve for x
    x = 41,552,838,480,986,525,138,944/94,789,797,506
  6. Step 6: Final answer
    x = 438,368,258,760.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.