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Finding the Third Proportional to 152,363,940 and 232,110,721.50

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Solution

The third proportional to 152,363,940 and 232,110,721.50 is: 353,596,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,363,940 : 232,110,721.50 = 232,110,721.50 : x
  2. Step 2: Convert to fraction form
    152,363,940/232,110,721.50 = 232,110,721.50/x
  3. Step 3: Cross multiply
    152,363,940x = 232,110,721.50 × 232,110,721.50
  4. Step 4: Simplify right side
    152,363,940x = 53,875,387,035,250,560
  5. Step 5: Solve for x
    x = 53,875,387,035,250,560/152,363,940
  6. Step 6: Final answer
    x = 353,596,704.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.