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Finding the Third Proportional to 72,946,104.75 and 112,827,898.13

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Solution

The third proportional to 72,946,104.75 and 112,827,898.13 is: 174,514,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946,104.75 : 112,827,898.13 = 112,827,898.13 : x
  2. Step 2: Convert to fraction form
    72,946,104.75/112,827,898.13 = 112,827,898.13/x
  3. Step 3: Cross multiply
    72,946,104.75x = 112,827,898.13 × 112,827,898.13
  4. Step 4: Simplify right side
    72,946,104.75x = 12,730,134,595,305,378
  5. Step 5: Solve for x
    x = 12,730,134,595,305,378/72,946,104.75
  6. Step 6: Final answer
    x = 174,514,247.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.