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Finding the Third Proportional to 520,457.25 and 776,368.50

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Solution

The third proportional to 520,457.25 and 776,368.50 is: 1,158,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,457.25 : 776,368.50 = 776,368.50 : x
  2. Step 2: Convert to fraction form
    520,457.25/776,368.50 = 776,368.50/x
  3. Step 3: Cross multiply
    520,457.25x = 776,368.50 × 776,368.50
  4. Step 4: Simplify right side
    520,457.25x = 602,748,047,792.25
  5. Step 5: Solve for x
    x = 602,748,047,792.25/520,457.25
  6. Step 6: Final answer
    x = 1,158,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.