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Finding the Third Proportional to 72,828,643 and 156,045,286

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Solution

The third proportional to 72,828,643 and 156,045,286 is: 334,348,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828,643 : 156,045,286 = 156,045,286 : x
  2. Step 2: Convert to fraction form
    72,828,643/156,045,286 = 156,045,286/x
  3. Step 3: Cross multiply
    72,828,643x = 156,045,286 × 156,045,286
  4. Step 4: Simplify right side
    72,828,643x = 24,350,131,282,821,796
  5. Step 5: Solve for x
    x = 24,350,131,282,821,796/72,828,643
  6. Step 6: Final answer
    x = 334,348,276.72

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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.