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Finding the Third Proportional to 52,946,256 and 114,684,300

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Solution

The third proportional to 52,946,256 and 114,684,300 is: 248,412,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,946,256 : 114,684,300 = 114,684,300 : x
  2. Step 2: Convert to fraction form
    52,946,256/114,684,300 = 114,684,300/x
  3. Step 3: Cross multiply
    52,946,256x = 114,684,300 × 114,684,300
  4. Step 4: Simplify right side
    52,946,256x = 13,152,488,666,490,000
  5. Step 5: Solve for x
    x = 13,152,488,666,490,000/52,946,256
  6. Step 6: Final answer
    x = 248,412,062.72

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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.