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Finding the Third Proportional to 249,312 and 540,688

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Solution

The third proportional to 249,312 and 540,688 is: 1,172,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,312 : 540,688 = 540,688 : x
  2. Step 2: Convert to fraction form
    249,312/540,688 = 540,688/x
  3. Step 3: Cross multiply
    249,312x = 540,688 × 540,688
  4. Step 4: Simplify right side
    249,312x = 292,343,513,344
  5. Step 5: Solve for x
    x = 292,343,513,344/249,312
  6. Step 6: Final answer
    x = 1,172,601.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.