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Finding the Third Proportional to 256,553,302.50 and 560,132,910

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Solution

The third proportional to 256,553,302.50 and 560,132,910 is: 1,222,938,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553,302.50 : 560,132,910 = 560,132,910 : x
  2. Step 2: Convert to fraction form
    256,553,302.50/560,132,910 = 560,132,910/x
  3. Step 3: Cross multiply
    256,553,302.50x = 560,132,910 × 560,132,910
  4. Step 4: Simplify right side
    256,553,302.50x = 313,748,876,865,068,096
  5. Step 5: Solve for x
    x = 313,748,876,865,068,096/256,553,302.50
  6. Step 6: Final answer
    x = 1,222,938,367.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.