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Finding the Third Proportional to 499,166,797.50 and 778,968,831.38

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Solution

The third proportional to 499,166,797.50 and 778,968,831.38 is: 1,215,610,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,166,797.50 : 778,968,831.38 = 778,968,831.38 : x
  2. Step 2: Convert to fraction form
    499,166,797.50/778,968,831.38 = 778,968,831.38/x
  3. Step 3: Cross multiply
    499,166,797.50x = 778,968,831.38 × 778,968,831.38
  4. Step 4: Simplify right side
    499,166,797.50x = 606,792,440,253,733,248
  5. Step 5: Solve for x
    x = 606,792,440,253,733,248/499,166,797.50
  6. Step 6: Final answer
    x = 1,215,610,580.06

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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.