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Finding the Third Proportional to 602,437 and 803,159.50

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Solution

The third proportional to 602,437 and 803,159.50 is: 1,070,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,437 : 803,159.50 = 803,159.50 : x
  2. Step 2: Convert to fraction form
    602,437/803,159.50 = 803,159.50/x
  3. Step 3: Cross multiply
    602,437x = 803,159.50 × 803,159.50
  4. Step 4: Simplify right side
    602,437x = 645,065,182,440.25
  5. Step 5: Solve for x
    x = 645,065,182,440.25/602,437
  6. Step 6: Final answer
    x = 1,070,759.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.