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Finding the Third Proportional to 72,828,560 and 156,045,120

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Solution

The third proportional to 72,828,560 and 156,045,120 is: 334,347,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828,560 : 156,045,120 = 156,045,120 : x
  2. Step 2: Convert to fraction form
    72,828,560/156,045,120 = 156,045,120/x
  3. Step 3: Cross multiply
    72,828,560x = 156,045,120 × 156,045,120
  4. Step 4: Simplify right side
    72,828,560x = 24,350,079,475,814,400
  5. Step 5: Solve for x
    x = 24,350,079,475,814,400/72,828,560
  6. Step 6: Final answer
    x = 334,347,946.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.