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Finding the Third Proportional to 314,740 and 499,140

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Solution

The third proportional to 314,740 and 499,140 is: 791,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,740 : 499,140 = 499,140 : x
  2. Step 2: Convert to fraction form
    314,740/499,140 = 499,140/x
  3. Step 3: Cross multiply
    314,740x = 499,140 × 499,140
  4. Step 4: Simplify right side
    314,740x = 249,140,739,600
  5. Step 5: Solve for x
    x = 249,140,739,600/314,740
  6. Step 6: Final answer
    x = 791,576.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.