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Finding the Third Proportional to 430,388,507 and 920,613,331

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Solution

The third proportional to 430,388,507 and 920,613,331 is: 1,969,218,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,388,507 : 920,613,331 = 920,613,331 : x
  2. Step 2: Convert to fraction form
    430,388,507/920,613,331 = 920,613,331/x
  3. Step 3: Cross multiply
    430,388,507x = 920,613,331 × 920,613,331
  4. Step 4: Simplify right side
    430,388,507x = 847,528,905,214,915,584
  5. Step 5: Solve for x
    x = 847,528,905,214,915,584/430,388,507
  6. Step 6: Final answer
    x = 1,969,218,256.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.