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Finding the Third Proportional to 86,201,523 and 133,835,044.50

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Solution

The third proportional to 86,201,523 and 133,835,044.50 is: 207,790,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,201,523 : 133,835,044.50 = 133,835,044.50 : x
  2. Step 2: Convert to fraction form
    86,201,523/133,835,044.50 = 133,835,044.50/x
  3. Step 3: Cross multiply
    86,201,523x = 133,835,044.50 × 133,835,044.50
  4. Step 4: Simplify right side
    86,201,523x = 17,911,819,136,316,980
  5. Step 5: Solve for x
    x = 17,911,819,136,316,980/86,201,523
  6. Step 6: Final answer
    x = 207,790,054.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.