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Finding the Third Proportional to 577,897.88 and 920,359.13

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Solution

The third proportional to 577,897.88 and 920,359.13 is: 1,465,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,897.88 : 920,359.13 = 920,359.13 : x
  2. Step 2: Convert to fraction form
    577,897.88/920,359.13 = 920,359.13/x
  3. Step 3: Cross multiply
    577,897.88x = 920,359.13 × 920,359.13
  4. Step 4: Simplify right side
    577,897.88x = 847,060,918,970.77
  5. Step 5: Solve for x
    x = 847,060,918,970.77/577,897.88
  6. Step 6: Final answer
    x = 1,465,762.30

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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.