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Finding the Third Proportional to 153,133,614 and 235,377,142.50

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Solution

The third proportional to 153,133,614 and 235,377,142.50 is: 361,791,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,133,614 : 235,377,142.50 = 235,377,142.50 : x
  2. Step 2: Convert to fraction form
    153,133,614/235,377,142.50 = 235,377,142.50/x
  3. Step 3: Cross multiply
    153,133,614x = 235,377,142.50 × 235,377,142.50
  4. Step 4: Simplify right side
    153,133,614x = 55,402,399,211,465,304
  5. Step 5: Solve for x
    x = 55,402,399,211,465,304/153,133,614
  6. Step 6: Final answer
    x = 361,791,234.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.