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Finding the Third Proportional to 618,312.38 and 983,570.63

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Solution

The third proportional to 618,312.38 and 983,570.63 is: 1,564,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,312.38 : 983,570.63 = 983,570.63 : x
  2. Step 2: Convert to fraction form
    618,312.38/983,570.63 = 983,570.63/x
  3. Step 3: Cross multiply
    618,312.38x = 983,570.63 × 983,570.63
  4. Step 4: Simplify right side
    618,312.38x = 967,411,174,362.89
  5. Step 5: Solve for x
    x = 967,411,174,362.89/618,312.38
  6. Step 6: Final answer
    x = 1,564,599.41

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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.