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Finding the Third Proportional to 530,772 and 780,498

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Solution

The third proportional to 530,772 and 780,498 is: 1,147,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,772 : 780,498 = 780,498 : x
  2. Step 2: Convert to fraction form
    530,772/780,498 = 780,498/x
  3. Step 3: Cross multiply
    530,772x = 780,498 × 780,498
  4. Step 4: Simplify right side
    530,772x = 609,177,128,004
  5. Step 5: Solve for x
    x = 609,177,128,004/530,772
  6. Step 6: Final answer
    x = 1,147,719.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.