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Finding the Third Proportional to 145,617,381 and 312,846,689.25

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Solution

The third proportional to 145,617,381 and 312,846,689.25 is: 672,124,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,617,381 : 312,846,689.25 = 312,846,689.25 : x
  2. Step 2: Convert to fraction form
    145,617,381/312,846,689.25 = 312,846,689.25/x
  3. Step 3: Cross multiply
    145,617,381x = 312,846,689.25 × 312,846,689.25
  4. Step 4: Simplify right side
    145,617,381x = 97,873,050,974,686,064
  5. Step 5: Solve for x
    x = 97,873,050,974,686,064/145,617,381
  6. Step 6: Final answer
    x = 672,124,785.53

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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.