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Finding the Third Proportional to 478,261,216,678 and 1,054,007,303,354

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Solution

The third proportional to 478,261,216,678 and 1,054,007,303,354 is: 2,322,854,868,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,261,216,678 : 1,054,007,303,354 = 1,054,007,303,354 : x
  2. Step 2: Convert to fraction form
    478,261,216,678/1,054,007,303,354 = 1,054,007,303,354/x
  3. Step 3: Cross multiply
    478,261,216,678x = 1,054,007,303,354 × 1,054,007,303,354
  4. Step 4: Simplify right side
    478,261,216,678x = 1,110,931,395,523,570,997,133,312
  5. Step 5: Solve for x
    x = 1,110,931,395,523,570,997,133,312/478,261,216,678
  6. Step 6: Final answer
    x = 2,322,854,868,391.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.