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Finding the Third Proportional to 360,720 and 530,712

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Solution

The third proportional to 360,720 and 530,712 is: 780,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,720 : 530,712 = 530,712 : x
  2. Step 2: Convert to fraction form
    360,720/530,712 = 530,712/x
  3. Step 3: Cross multiply
    360,720x = 530,712 × 530,712
  4. Step 4: Simplify right side
    360,720x = 281,655,226,944
  5. Step 5: Solve for x
    x = 281,655,226,944/360,720
  6. Step 6: Final answer
    x = 780,814.00

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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.