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Finding the Third Proportional to 642,721.71 and 976,700.53

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Solution

The third proportional to 642,721.71 and 976,700.53 is: 1,484,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,721.71 : 976,700.53 = 976,700.53 : x
  2. Step 2: Convert to fraction form
    642,721.71/976,700.53 = 976,700.53/x
  3. Step 3: Cross multiply
    642,721.71x = 976,700.53 × 976,700.53
  4. Step 4: Simplify right side
    642,721.71x = 953,943,927,744.03
  5. Step 5: Solve for x
    x = 953,943,927,744.03/642,721.71
  6. Step 6: Final answer
    x = 1,484,225.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.