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Finding the Third Proportional to 510,364,855.69 and 788,212,670.63

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Solution

The third proportional to 510,364,855.69 and 788,212,670.63 is: 1,217,323,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,364,855.69 : 788,212,670.63 = 788,212,670.63 : x
  2. Step 2: Convert to fraction form
    510,364,855.69/788,212,670.63 = 788,212,670.63/x
  3. Step 3: Cross multiply
    510,364,855.69x = 788,212,670.63 × 788,212,670.63
  4. Step 4: Simplify right side
    510,364,855.69x = 621,279,214,133,794,688
  5. Step 5: Solve for x
    x = 621,279,214,133,794,688/510,364,855.69
  6. Step 6: Final answer
    x = 1,217,323,660.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.