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Finding the Third Proportional to 428,301,796.50 and 577,879,681.50

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Solution

The third proportional to 428,301,796.50 and 577,879,681.50 is: 779,695,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,796.50 : 577,879,681.50 = 577,879,681.50 : x
  2. Step 2: Convert to fraction form
    428,301,796.50/577,879,681.50 = 577,879,681.50/x
  3. Step 3: Cross multiply
    428,301,796.50x = 577,879,681.50 × 577,879,681.50
  4. Step 4: Simplify right side
    428,301,796.50x = 333,944,926,290,541,440
  5. Step 5: Solve for x
    x = 333,944,926,290,541,440/428,301,796.50
  6. Step 6: Final answer
    x = 779,695,366.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.