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Finding the Third Proportional to 306,428,835 and 487,824,556.50

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Solution

The third proportional to 306,428,835 and 487,824,556.50 is: 776,600,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,428,835 : 487,824,556.50 = 487,824,556.50 : x
  2. Step 2: Convert to fraction form
    306,428,835/487,824,556.50 = 487,824,556.50/x
  3. Step 3: Cross multiply
    306,428,835x = 487,824,556.50 × 487,824,556.50
  4. Step 4: Simplify right side
    306,428,835x = 237,972,797,924,421,696
  5. Step 5: Solve for x
    x = 237,972,797,924,421,696/306,428,835
  6. Step 6: Final answer
    x = 776,600,537.36

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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.