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Finding the Third Proportional to 508,815 and 747,670.50

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Solution

The third proportional to 508,815 and 747,670.50 is: 1,098,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,815 : 747,670.50 = 747,670.50 : x
  2. Step 2: Convert to fraction form
    508,815/747,670.50 = 747,670.50/x
  3. Step 3: Cross multiply
    508,815x = 747,670.50 × 747,670.50
  4. Step 4: Simplify right side
    508,815x = 559,011,176,570.25
  5. Step 5: Solve for x
    x = 559,011,176,570.25/508,815
  6. Step 6: Final answer
    x = 1,098,653.10

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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.