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Finding the Third Proportional to 402,108.68 and 626,901.40

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Solution

The third proportional to 402,108.68 and 626,901.40 is: 977,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,108.68 : 626,901.40 = 626,901.40 : x
  2. Step 2: Convert to fraction form
    402,108.68/626,901.40 = 626,901.40/x
  3. Step 3: Cross multiply
    402,108.68x = 626,901.40 × 626,901.40
  4. Step 4: Simplify right side
    402,108.68x = 393,005,363,362.89
  5. Step 5: Solve for x
    x = 393,005,363,362.89/402,108.68
  6. Step 6: Final answer
    x = 977,361.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.