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Finding the Third Proportional to 499,166,833.50 and 778,968,859.50

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Solution

The third proportional to 499,166,833.50 and 778,968,859.50 is: 1,215,610,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,166,833.50 : 778,968,859.50 = 778,968,859.50 : x
  2. Step 2: Convert to fraction form
    499,166,833.50/778,968,859.50 = 778,968,859.50/x
  3. Step 3: Cross multiply
    499,166,833.50x = 778,968,859.50 × 778,968,859.50
  4. Step 4: Simplify right side
    499,166,833.50x = 606,792,484,070,730,752
  5. Step 5: Solve for x
    x = 606,792,484,070,730,752/499,166,833.50
  6. Step 6: Final answer
    x = 1,215,610,580.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.