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Finding the Third Proportional to 101,176,490 and 152,867,074

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Solution

The third proportional to 101,176,490 and 152,867,074 is: 230,966,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,490 : 152,867,074 = 152,867,074 : x
  2. Step 2: Convert to fraction form
    101,176,490/152,867,074 = 152,867,074/x
  3. Step 3: Cross multiply
    101,176,490x = 152,867,074 × 152,867,074
  4. Step 4: Simplify right side
    101,176,490x = 23,368,342,313,321,476
  5. Step 5: Solve for x
    x = 23,368,342,313,321,476/101,176,490
  6. Step 6: Final answer
    x = 230,966,129.71

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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.