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Finding the Third Proportional to 314,559,130 and 689,584,436

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Solution

The third proportional to 314,559,130 and 689,584,436 is: 1,511,724,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,559,130 : 689,584,436 = 689,584,436 : x
  2. Step 2: Convert to fraction form
    314,559,130/689,584,436 = 689,584,436/x
  3. Step 3: Cross multiply
    314,559,130x = 689,584,436 × 689,584,436
  4. Step 4: Simplify right side
    314,559,130x = 475,526,694,373,438,080
  5. Step 5: Solve for x
    x = 475,526,694,373,438,080/314,559,130
  6. Step 6: Final answer
    x = 1,511,724,343.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.