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Finding the Third Proportional to 130,124,133 and 173,479,495

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Solution

The third proportional to 130,124,133 and 173,479,495 is: 231,280,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,124,133 : 173,479,495 = 173,479,495 : x
  2. Step 2: Convert to fraction form
    130,124,133/173,479,495 = 173,479,495/x
  3. Step 3: Cross multiply
    130,124,133x = 173,479,495 × 173,479,495
  4. Step 4: Simplify right side
    130,124,133x = 30,095,135,185,455,024
  5. Step 5: Solve for x
    x = 30,095,135,185,455,024/130,124,133
  6. Step 6: Final answer
    x = 231,280,197.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.