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Finding the Third Proportional to 171,426,240 and 258,685,056

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Solution

The third proportional to 171,426,240 and 258,685,056 is: 390,360,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,426,240 : 258,685,056 = 258,685,056 : x
  2. Step 2: Convert to fraction form
    171,426,240/258,685,056 = 258,685,056/x
  3. Step 3: Cross multiply
    171,426,240x = 258,685,056 × 258,685,056
  4. Step 4: Simplify right side
    171,426,240x = 66,917,958,197,723,136
  5. Step 5: Solve for x
    x = 66,917,958,197,723,136/171,426,240
  6. Step 6: Final answer
    x = 390,360,065.05

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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.