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Finding the Third Proportional to 208,966,770 and 487,971,597

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Solution

The third proportional to 208,966,770 and 487,971,597 is: 1,139,493,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966,770 : 487,971,597 = 487,971,597 : x
  2. Step 2: Convert to fraction form
    208,966,770/487,971,597 = 487,971,597/x
  3. Step 3: Cross multiply
    208,966,770x = 487,971,597 × 487,971,597
  4. Step 4: Simplify right side
    208,966,770x = 238,116,279,478,730,400
  5. Step 5: Solve for x
    x = 238,116,279,478,730,400/208,966,770
  6. Step 6: Final answer
    x = 1,139,493,516.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.