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Finding the Third Proportional to 153,214,419 and 243,912,280.50

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Solution

The third proportional to 153,214,419 and 243,912,280.50 is: 388,300,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,214,419 : 243,912,280.50 = 243,912,280.50 : x
  2. Step 2: Convert to fraction form
    153,214,419/243,912,280.50 = 243,912,280.50/x
  3. Step 3: Cross multiply
    153,214,419x = 243,912,280.50 × 243,912,280.50
  4. Step 4: Simplify right side
    153,214,419x = 59,493,200,578,710,680
  5. Step 5: Solve for x
    x = 59,493,200,578,710,680/153,214,419
  6. Step 6: Final answer
    x = 388,300,272.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.