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Finding the Third Proportional to 257,529,681 and 557,810,838

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Solution

The third proportional to 257,529,681 and 557,810,838 is: 1,208,221,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,529,681 : 557,810,838 = 557,810,838 : x
  2. Step 2: Convert to fraction form
    257,529,681/557,810,838 = 557,810,838/x
  3. Step 3: Cross multiply
    257,529,681x = 557,810,838 × 557,810,838
  4. Step 4: Simplify right side
    257,529,681x = 311,152,930,990,262,272
  5. Step 5: Solve for x
    x = 311,152,930,990,262,272/257,529,681
  6. Step 6: Final answer
    x = 1,208,221,630.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.